Commutative Algebra

Authors and titles for December 2024

[1] arXiv:2412.00092 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Regularity of deficiency modules through spectral sequences Show Chinese title

Title: 通过谱序列的亏格模的正则性

Alberto F. Boix, Santiago Zarzuela

Comments: 14 pages, comments are welcome

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[2] arXiv:2412.00399 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: The linkage class of a grade three complete intersection Show Chinese title

Title: 三级完全交的联络类

Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman

Subjects: Commutative Algebra (math.AC)

[3] arXiv:2412.00590 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Goldbach theorems for group semidomains Show Chinese title

Title: 关于群半域的哥德巴赫定理

Eddy Li, Advaith Mopuri, Charles Zhang

Comments: 14 pages

Subjects: Commutative Algebra (math.AC)

[4] arXiv:2412.00669 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Uniformly dominant local rings and Orlov spectra of singularity categories Show Chinese title

Title: 均匀主导局部环和奇点范畴的Orlov谱

Ryo Takahashi

Comments: 18 pages

Subjects: Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[5] arXiv:2412.01392 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Quasilifting of hulls and depth of tensor product of modules Show Chinese title

Title: 拟提升的包络和模的张量积的深度

Sutapa Dey, Amit Tripathi

Comments: The hypotheses in Theorem 1.2 (a) have been modified to correct a gap in the previous version

Subjects: Commutative Algebra (math.AC)

[6] arXiv:2412.01636 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of (co)homologies Show Chinese title

Title: 某些 Cohen-Macaulay 模的性质以及通过 (同调) 上同调有限消失来判断局部环的条件

Souvik Dey, Dipankar Ghosh, Aniruddha Saha

Comments: comments are welcome!

Subjects: Commutative Algebra (math.AC)

[7] arXiv:2412.02118 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Algebraic properties of Indigenous semirings Show Chinese title

Title: Indigenous半环的代数性质

Hussein Behzadipour, Henk Koppelaar, Peyman Nasehpour

Comments: Minor revision. Some examples and explanations added to the paper

Subjects: Commutative Algebra (math.AC) ; Discrete Mathematics (cs.DM) ; Rings and Algebras (math.RA)

[8] arXiv:2412.03468 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Powers of Edge Ideals with Linear Quotients Show Chinese title

Title: 边理想具有线性商的幂

Etan Basser, Rachel Diethorn, Robert Miranda, Mario Stinson-Maas

Comments: 24 pages; edits to introduction, citations, and notation; removed unnecessary hypothesis in Theorem 3.11; added Remark 3.6

Subjects: Commutative Algebra (math.AC)

[9] arXiv:2412.04195 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Partial Betti splittings with applications to binomial edge ideals Show Chinese title

Title: 部分贝蒂数分解及其在二项式边理想中的应用

A.V. Jayanthan, Aniketh Sivakumar, Adam Van Tuyl

Comments: 26 pages

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[10] arXiv:2412.04417 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Resurgence number and convex body associated to pairs of graded families of ideals Show Chinese title

Title: 与分次理想族对相关的复兴数和凸体

Tai Huy Ha, A.V. Jayanthan, Arvind Kumar, Thai Thanh Nguyen

Comments: 16 pages; comments welcome

Subjects: Commutative Algebra (math.AC)

[11] arXiv:2412.05261 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Localization of unique factorization semidomains Show Chinese title

Title: 唯一因子分解半域的局部化

Victor Gonzalez, Harold Polo, Pedro Rodriguez

Subjects: Commutative Algebra (math.AC)

[12] arXiv:2412.05860 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules Show Chinese title

Title: 极大 Cohen-Macaulay 模的挠组不变量的渐近行为

Tony J. Puthenpurakal, Samarendra Sahoo

Subjects: Commutative Algebra (math.AC)

[13] arXiv:2412.05945 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The Multiplicity of Powers of a Class of Non-Square-free Monomial Ideals Show Chinese title

Title: 幂的重数的非平方自由单项式理想类

Liuqing Yang, Zexin Wang

Comments: 11 pages

Subjects: Commutative Algebra (math.AC)

[14] arXiv:2412.06230 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On a problem of Amitsur and Small Show Chinese title

Title: 关于阿米图尔和斯莫尔的问题

Elad Paran

Subjects: Commutative Algebra (math.AC)

[15] arXiv:2412.06280 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Annihilator of local cohomology modules under localization and completion Show Chinese title

Title: 局部上同调模在局部化和完备化下的零化子

Nguyen Thi Anh Hang, Le Thanh Nhan

Comments: Updated acknowledgments section to reflect funding support

Subjects: Commutative Algebra (math.AC)

[16] arXiv:2412.06467 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Gapfree graphs and powers of edge ideals with linear quotients Show Chinese title

Title: 无间隙图和具有线性商的边理想幂

Nursel Erey, Sara Faridi, Tài Huy Hà, Takayuki Hibi, Selvi Kara, Susan Morey

Comments: 27 pages, 6 figures

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[17] arXiv:2412.06659 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Ischebeck's formula, Grade and quasi-homological dimensions Show Chinese title

Title: Ischebeck的公式，阶数和准同调维数

Victor H. Jorge-Pérez, Paulo Martins, Victor D. Mendoza-Rubio

Comments: 20 pages, comments and suggestions are welcome

Subjects: Commutative Algebra (math.AC)

[18] arXiv:2412.07281 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: When the poset of the ideal class monoid of a numerical semigroup is a lattice Show Chinese title

Title: 当数值半群的理想类么半群的偏序集是一个格时

S. Bonzio, P. A. García-Sánchez

Comments: arXiv admin note: text overlap with arXiv:2407.21697

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[19] arXiv:2412.07546 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Hilbert-Kunz multiplicity of powers of ideals in dimension two Show Chinese title

Title: Hilbert-Kunz 乘数在二维中的理想幂

Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi, Jugal K. Verma

Comments: minor fixes

Subjects: Commutative Algebra (math.AC)

[20] arXiv:2412.07602 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the copersistence property and nearly copersistence property of monomial ideals Show Chinese title

Title: 关于单项式理想的共持久性性质和近似共持久性性质

Mehrdad Nasernejad, Jonathan Toledo

Subjects: Commutative Algebra (math.AC)

[21] arXiv:2412.07748 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the gluing of formal schemes Show Chinese title

Title: 关于形式概形的粘合

R. A. Calixto, T. H. Freitas, V. H. Jorge Pérez

Subjects: Commutative Algebra (math.AC)

[22] arXiv:2412.07931 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the Krull dimension of rings of integer-valued rational functions Show Chinese title

Title: 论整值有理函数环的克鲁尔维数

Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis, Ali Tamoussit

Comments: To appear in Archiv der Mathematik, DOI : 10.1007/s00013-024-02086-7

Subjects: Commutative Algebra (math.AC)

[23] arXiv:2412.07995 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Building monomial ideals with fixed betti numbers Show Chinese title

Title: 构建具有固定贝蒂数的单项式理想

Sara Faridi, Peilin Li

Comments: 24 pages, 5 figures

Subjects: Commutative Algebra (math.AC) ; Algebraic Topology (math.AT) ; Combinatorics (math.CO)

[24] arXiv:2412.08037 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs Show Chinese title

Title: 某些藤蔓图相关的阶台单项式代数的弱Lefschetz性质

Phan Minh Hung, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

Comments: 12 pages. arXiv admin note: substantial text overlap with arXiv:2310.14368 by other authors

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[25] arXiv:2412.08423 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the injective dimension of unit Cartier and Frobenius modules Show Chinese title

Title: 单位Cartier和Frobenius模的单射维数

Manuel Blickle, Daniel Fink, Alexandria Wheeler, Wenliang Zhang

Comments: 10 pages

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[26] arXiv:2412.08621 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The separating Noether number of small groups Show Chinese title

Title: 小群的分离诺特数

M. Domokos, B. Schefler

Subjects: Commutative Algebra (math.AC) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[27] arXiv:2412.08917 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Lefschetz properties through a topological lens Show Chinese title

Title: 通过拓扑视角的Lefschetz性质

Alexandra Seceleanu

Subjects: Commutative Algebra (math.AC)

[28] arXiv:2412.10113 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Sortable simplicial complexes and their associated toric rings Show Chinese title

Title: 可排序的单纯复形及其相关的环纹

Antonino Ficarra, Somayeh Moradi

Subjects: Commutative Algebra (math.AC)

[29] arXiv:2412.10335 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Regular Edges, Matchings and Hilbert Series Show Chinese title

Title: 常规边，匹配和Hilbert级数

Joseph Brennan, Susan Morey

Subjects: Commutative Algebra (math.AC)

[30] arXiv:2412.10696 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Equality of elementary symplectic group and symplectic group Show Chinese title

Title: 初等辛群与辛群的相等性

Ruddarraju Amrutha, Pratyusha Chattopadhyay

Subjects: Commutative Algebra (math.AC)

[31] arXiv:2412.11199 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Arithmetic properties encoded in undermonoids Show Chinese title

Title: 在下独子半群中的算术性质

Felix Gotti, Bangzheng Li

Comments: 18 pages

Subjects: Commutative Algebra (math.AC)

[32] arXiv:2412.11235 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Symbolic powers of the generic linkage of maximal minors Show Chinese title

Title: 关于最大极小项通用链接的符号幂

Vaibhav Pandey, Matteo Varbaro

Comments: 25 pages, 4 figures; comments welcome!

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[33] arXiv:2412.11843 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Monomial ideals with minimal generalized Barile-Macchia resolutions Show Chinese title

Title: 具有最小广义Barile-Macchia分解的单项式理想

Trung Chau, Huy Tai Ha, Aryaman Maithani

Comments: are welcome! 17 pages

Subjects: Commutative Algebra (math.AC)

[34] arXiv:2412.12860 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Show Chinese title

Title: Stanley-Reisner 环在去心谱上为 Gorenstein 的规范迹

Sora Miyashita, Matteo Varbaro

Comments: We dedicate this work with our deepest gratitude to the memory of Professor J\"urgen Herzog (1941-2024)

Subjects: Commutative Algebra (math.AC)

[35] arXiv:2412.13424 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Remarks on retracts of polynomial rings in three variables in any characteristic Show Chinese title

Title: 三变量多项式环的收缩 Remarks

Hideo Kojima, Takanori Nagamine, Riko Sasagawa

Comments: 14 pages

Subjects: Commutative Algebra (math.AC)

[36] arXiv:2412.14904 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On the set of associated radicals of powers of monomial ideals Show Chinese title

Title: 幂的单项式理想的关联根的集合

Nguyen Thu Hang, Truong Thi Hien

Comments: 15 pages

Subjects: Commutative Algebra (math.AC)

[37] arXiv:2412.15368 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers Show Chinese title

Title: 滤过次数的方程的Rees模及其与Artin-Rees数的联系

Philippe Gimenez, Francesc Planas-Vilanova

Subjects: Commutative Algebra (math.AC)

[38] arXiv:2412.16237 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Filtered colimits of complete intersection algebras Show Chinese title

Title: 滤子余极限的完全交代数

Dorin Popescu

Comments: To appear in Rev. Roum. Math. Pures Appl., {\bf 70}, No 1 (2025)

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[39] arXiv:2412.16618 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: On torsion-free modules and semi-hereditary rings Show Chinese title

Title: 关于无挠模和半遗传环

Ryoya Ando

Comments: 10 pages

Subjects: Commutative Algebra (math.AC)

[40] arXiv:2412.17320 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Ideal transition systems Show Chinese title

Title: 理想转换系统

Eric Marberg, Brendan Pawlowski

Comments: 29 pages, 2 figures

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[41] arXiv:2412.18369 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Efficiently Checking Separating Indeterminates Show Chinese title

Title: 高效检查分离不定元

Bernhard Andraschko, Martin Kreuzer, Le Ngoc Long

Comments: 28 pages, 1 figure

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[42] arXiv:2412.18499 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Koszul Graded Möbius Algebras and Strongly Chordal Graphs Show Chinese title

Title: 科斯祖尔分次莫比乌斯代数与强弦图

Adam LaClair, Matthew Mastroeni, Jason McCullough, Irena Peeva

Comments: 28 pages, to appear in Selecta Mathematica

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[43] arXiv:2412.18694 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Viewing Quasi-Coherent Sheaves of Ideals as Ideals of a Ring Show Chinese title

Title: 将拟凝聚理想层视为环的理想

Ayçin Iplikçi Arodirik

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[44] arXiv:2412.18841 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Splitting the difference: Computations of the Reynolds operator in classical invariant theory Show Chinese title

Title: 差值分割：经典不变量理论中雷诺兹算子的计算

Aryaman Maithani

Comments: 19 pages. This is the final version of the article

Subjects: Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[45] arXiv:2412.19224 (cross-list from math.AC) [cn-pdf, pdf, other]

Title: On the Equality $\sum_{j} e_jf_j=[L:K]$ \vspace{2mm} On the Equality $\sum_{j} e_jf_j=[L:K]$ for a Finite Separable Extension $L$ of $K$ Show Chinese title

Title: 关于等式$\sum_{j} e_jf_j=[L:K]$ \vspace{2mm} 关于等式$\sum_{j} e_jf_j=[L:K]$对于有限可分扩张$L$的$K$

Norio Adachi

Comments: I was informed that result in my paper contains contaradiction, so that I want to study the situation more deeply

Subjects: Commutative Algebra (math.AC)

[46] arXiv:2412.19799 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Computing Direct Sum Decompositions Show Chinese title

Title: 计算直接和分解

Devlin Mallory, Mahrud Sayrafi

Comments: 18 pages, added non-recursive characteristic-free algorithm. To appear in Journal of Symbolic Computation

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[47] arXiv:2412.21031 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The homological shift algebra of a monomial ideal Show Chinese title

Title: 单项式理想的同调移位代数

Antonino Ficarra, Ayesha Asloob Qureshi

Comments: Dedicated with deep gratitude to the memory of Professor J\"urgen Herzog, inspiring mathematician and master of monomials. Some references fixed

Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO)

[48] arXiv:2412.21120 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: A family of simplicial resolutions which are DG-algebras Show Chinese title

Title: 一个单形分解的族，这些分解是DG-代数

James Cameron, Trung Chau, Sarasij Maitra, Tim Tribone

Comments: are welcome. 18 pages. Dedicated to J\"urgen Herzog

Subjects: Commutative Algebra (math.AC)

[49] arXiv:2412.00454 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Positioned and primary positioned $\mathcal{C}$-semigroups Show Chinese title

Title: 定位的和主要定位的$\mathcal{C}$-半群

Carmelo Cisto, Raquel Tapia-Ramos

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC)

[50] arXiv:2412.00616 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: The transcendence degree of the reals over certain set-theoretical subfields Show Chinese title

Title: 实数在某些集合论子域上的超越次数

Azul Fatalini, Ralf Schindler

Comments: 19 pages, 3 figures. Comments are welcome

Subjects: Logic (math.LO) ; Commutative Algebra (math.AC)

[51] arXiv:2412.00998 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Flattening and algebrisation Show Chinese title

Title: 扁平化和代数化

Michael McQuillan

Comments: Numerous fixes, including taking account of the somewhere dense components of the flatifier, the necessity for which was pointed out to me by David Rydh. A useful application to contration/surjectivity of formal schemes and further foundational material (appendix) have been added

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[52] arXiv:2412.01060 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Ranks of matrix factorizations and sheaf cohomology Show Chinese title

Title: 矩阵分解的秩和层上同调

Michael K. Brown, Mark E. Walker

Journal-ref: Proceedings of the AMS 153(8) (2025), 3291-3301

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[53] arXiv:2412.03500 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: $(σ, τ)$-Derivations of Number Rings with Coding Theory Applications Show Chinese title

Title: $(σ, τ)$- 数论环的导数及其在编码理论中的应用

Praveen Manju, Rajendra Kumar Sharma

Comments: Comments are welcome

Subjects: Number Theory (math.NT) ; Commutative Algebra (math.AC) ; Rings and Algebras (math.RA)

[54] arXiv:2412.03507 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: Twisted Derivations in Algebraic Number Fields Show Chinese title

Title: 代数数域中的扭曲导子

Praveen Manju, Rajendra Kumar Sharma

Subjects: Number Theory (math.NT) ; Commutative Algebra (math.AC) ; Rings and Algebras (math.RA)

[55] arXiv:2412.03769 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: The Herzog-Takayama resolution over a skew polynomial ring Show Chinese title

Title: 赫尔佐格-高山关于斜多项式环的分解

Luigi Ferraro, Linoy Utkina

Subjects: Rings and Algebras (math.RA) ; Commutative Algebra (math.AC)

[56] arXiv:2412.04173 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Cluster structures on Cox rings Show Chinese title

Title: Cox环上的聚类结构

Luca Francone

Comments: 45 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[57] arXiv:2412.04561 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Differential operators, anisotropy, and simplicial spheres Show Chinese title

Title: 微分算子，各向异性，和单纯球面

Kalle Karu, Matt Larson, Alan Stapledon

Comments: Results strengthened

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC)

[58] arXiv:2412.05414 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Construction of an Infinite-Dimensional Family of Exact Solutions of the Klein--Gordon Equation by the Hypercomplex Method Show Chinese title

Title: 由超复数方法构造克莱因-戈登方程的无限维精确解族

Vitalii Shpakivskyi

Subjects: Analysis of PDEs (math.AP) ; Commutative Algebra (math.AC) ; Representation Theory (math.RT)

[59] arXiv:2412.05678 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: When do Ten Points Lie on a Quadric Surface? Show Chinese title

Title: 十个点何时位于一个二次曲面上？

Will Traves

Comments: 14 pages, 4 figures

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[60] arXiv:2412.05732 (cross-list from math.CO) [cn-pdf, pdf, other]

Title: Tor Groups of the Stanley-Reisner Ring of a Matroid Show Chinese title

Title: 拟阵的Stanley-Reisner环的Tor群

Kyle Binder

Comments: 34 pages, comments welcome!

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[61] arXiv:2412.07849 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Archimedean zeta functions, singularities, and Hodge theory Show Chinese title

Title: 阿基米德泽塔函数，奇点与霍奇理论

Dougal Davis, András C. Lőrincz, Ruijie Yang

Comments: 24 pages, comments are welcome!

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC) ; Complex Variables (math.CV)

[62] arXiv:2412.09519 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On polynomial automorphisms commuting with a simple derivation Show Chinese title

Title: 关于与简单导子交换的多项式自同构

Pierre-Louis Montagard, Iván Pan, Alvaro Rittatore

Comments: 16 pages. Minor corrections

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[63] arXiv:2412.10090 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Codegree and regularity of stable set polytopes Show Chinese title

Title: 稳定集多面体的代码数和正则性

Koji Matsushita, Akiyoshi Tsuchiya

Comments: 9 pages

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC)

[64] arXiv:2412.11309 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Singularities of square-free polynomials Show Chinese title

Title: 平方自由多项式的奇点

Daniel Bath, Mircea Mustaţă, Uli Walther

Comments: 9 pages; v.2: revised version, incorporating the referee's suggestions. Several references have been added

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[65] arXiv:2412.11738 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: About Eisenstein's Theorem Show Chinese title

Title: 关于艾森斯坦定理

Guillaume Rond

Comments: 14 pages. Typos fixed, especially in the proof of Theorem 2.2

Subjects: Number Theory (math.NT) ; Commutative Algebra (math.AC) ; Complex Variables (math.CV)

[66] arXiv:2412.11759 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: The external activity complex of a pair of matroids Show Chinese title

Title: 拟阵对的外部活动复形

Andrew Berget, Alex Fink

Comments: v2: 76 pages. Minor changes to the introduction. Added hypothesis to Lemma 4.9 and some consequences of this, not materially changing future results

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[67] arXiv:2412.13316 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: Endogenies and Linearisation Show Chinese title

Title: 内生性和线性化

Adrien Deloro, Frank O. Wagner

Subjects: Logic (math.LO) ; Commutative Algebra (math.AC)

[68] arXiv:2412.14911 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: Bochvar algebras: A categorical equivalence and the generated variety Show Chinese title

Title: 博奇瓦尔代数：范畴等价性和生成的种类

Stefano Bonzio, Francesco Paoli, Michele Pra Baldi

Subjects: Logic (math.LO) ; Commutative Algebra (math.AC) ; Category Theory (math.CT)

[69] arXiv:2412.16350 (cross-list from math.NT) [cn-pdf, pdf, html, other]

Title: P-adic approximation of algebraic integers and residue class rings of rings of integer-valued polynomials Show Chinese title

Title: P进数对代数整数和整值多项式环的剩余类环的逼近

Sophie Frisch, Franz Halter-Koch

Subjects: Number Theory (math.NT) ; Commutative Algebra (math.AC)

[70] arXiv:2412.17557 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: Constant power maps on Hardy fields and transseries Show Chinese title

Title: Hardy域上的常数幂映射和拟幂级数

Elliot Kaplan

Comments: 26 pages

Subjects: Logic (math.LO) ; Commutative Algebra (math.AC)

[71] arXiv:2412.17679 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Ehrhart Functions of Weighted Lattice Points Show Chinese title

Title: 加权格点的Ehrhart函数

Jesus A. De Loera, Carlos E. Valencia, Rafael H. Villarreal, Chengyang Wang

Subjects: Combinatorics (math.CO) ; Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG)

[72] arXiv:2412.18753 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Calabi-Yau completions for roots of dualizing dg bimodules Show Chinese title

Title: 卡拉比-丘对偶微分分次双模的根完成

Norihiro Hanihara

Comments: 39 pages

Subjects: Representation Theory (math.RT) ; Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) ; Rings and Algebras (math.RA)

[73] arXiv:2412.19040 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities Show Chinese title

Title: 某些环柄奇点产生的高阶遗传代数和卡拉比-丘代数

Norihiro Hanihara

Comments: 22 pages, title changed

Subjects: Representation Theory (math.RT) ; Commutative Algebra (math.AC) ; Rings and Algebras (math.RA)

[74] arXiv:2412.19380 (cross-list from math.LO) [cn-pdf, pdf, html, other]

Title: Vopěnka's Principle, Maximum Deconstructibility, and singly-generated torsion classes Show Chinese title

Title: 沃佩卡原理，最大可分解性，以及单生成的挠类

Sean Cox

Comments: title change and minor edits

Subjects: Logic (math.LO) ; Commutative Algebra (math.AC) ; Category Theory (math.CT) ; Rings and Algebras (math.RA)

[75] arXiv:2412.19625 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Reflexive modules and Auslander-type conditions Show Chinese title

Title: 自反模和奥尔兰德型条件

Norihiro Hanihara

Comments: 19 pages

Subjects: Representation Theory (math.RT) ; Commutative Algebra (math.AC) ; Category Theory (math.CT) ; Rings and Algebras (math.RA)

[76] arXiv:2412.19670 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Conjugation, loop and closure invariants of the iterated-integrals signature Show Chinese title

Title: 迭代积分签名的共轭、环和闭合不变量

Joscha Diehl, Rosa Preiß, Jeremy Reizenstein

Comments: 30 pages. Feedback very welcome!

Subjects: Rings and Algebras (math.RA) ; Commutative Algebra (math.AC) ; Combinatorics (math.CO) ; Probability (math.PR)

[77] arXiv:2412.19793 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Splitting of Vector Bundles on Toric Varieties Show Chinese title

Title: 环上向量丛的分裂

Mahrud Sayrafi

Comments: 5 pages

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC)

[78] arXiv:2412.20797 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Cohomology of flag supervarieties and resolutions of determinantal ideals. II Show Chinese title

Title: 旗超流形的上同调和行列式理想的小化。 II

Steven V Sam, Andrew Snowden

Comments: 29 pages

Subjects: Algebraic Geometry (math.AG) ; Commutative Algebra (math.AC) ; Representation Theory (math.RT)