Algebraic Geometry

Authors and titles for September 2025

[1] arXiv:2509.00165 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Strata of Ecological Coexistence via Grassmannians Show Chinese title

Title: 通过格拉斯曼的生态共存层

Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten, Kexin Wang, Giulio Zucal

Subjects: Algebraic Geometry (math.AG)

[2] arXiv:2509.00418 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Show Chinese title

Title: 三阶Painleve系统的表示：III. Dolbeault结构，谱对应

Miklos Eper, Szilard Szabo

Comments: 43 pages, 6 Figures in colour

Subjects: Algebraic Geometry (math.AG)

[3] arXiv:2509.00444 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Frobenius induced morphisms on moduli of sheaves on curves Show Chinese title

Title: 弗罗贝尼乌斯在曲线上的层模空间上的诱导同态

Jin Cao, Xiaoyu Su

Comments: Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[4] arXiv:2509.00501 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks Show Chinese title

Title: Hochschild-Kostant-Rosenberg同构对于导出Deligne-Mumford堆栈

Lie Fu, Mauro Porta, Sarah Scherotzke, Nicolò Sibilla

Comments: 37 pages. Comments welcome!

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[5] arXiv:2509.00584 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The Balmer spectrum of Voevodsky motives and pure symbols Show Chinese title

Title: Voevodsky动机的巴尔末谱和纯符号

Alexander Vishik

Comments: 20 pages

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT)

[6] arXiv:2509.00592 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Varieties and pure symbols Show Chinese title

Title: 种类和纯符号

Alexander Vishik

Comments: 8 pages

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT)

[7] arXiv:2509.00844 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The Geometric Syzygy Conjecture in Positive Characteristic Show Chinese title

Title: 正特征中的几何关系猜想

Michael Kemeny, Peter Yi Wei

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

[8] arXiv:2509.00887 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hasse-Schmidt derivations and locally trivial deformations in positive characteristic Show Chinese title

Title: Hasse-Schmidt导数与正特征中的局部平凡变形

Takuya Miyamoto

Comments: 46 pages

Subjects: Algebraic Geometry (math.AG)

[9] arXiv:2509.00984 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hodge-Grothendieck classes and monodromy invariants of nearby cycles sheaves Show Chinese title

Title: 霍奇-格罗滕迪克类和邻近循环层的单值化不变量

R. Virk

Subjects: Algebraic Geometry (math.AG)

[10] arXiv:2509.00998 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The Torelli locus and Newton polygons Show Chinese title

Title: 托里奇流形和牛顿多边形

Rachel Pries

Comments: Submitted to AMS Mathematical Surveys and Monographs. Abelian Varieties: Lectures from the Arizona Winter School 2024

Subjects: Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[11] arXiv:2509.01101 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology Show Chinese title

Title: A-D-E图，Hodge--Tate超平面截面和半单量子上同调

Sergey Galkin, Naichung Conan Leung, Changzheng Li, Rui Xiong

Comments: 23 pages

Subjects: Algebraic Geometry (math.AG)

[12] arXiv:2509.01501 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Effective termination of general type MMPs in dimension at most five Show Chinese title

Title: 在至多五维中的一般类型MMP的有效终止

Jingjun Han, Jihao Liu, Ziquan Zhuang

Comments: 26 pages. Second part of a two-paper replacement of arXiv:2506.20183. Comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[13] arXiv:2509.01507 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Localizing motives of Azumaya algebras Show Chinese title

Title: 阿兹马亚代数的局部化动机

Maxime Ramzi

Comments: 13 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT) ; K-Theory and Homology (math.KT)

[14] arXiv:2509.01634 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Transverse slices and Zariski's multiplicity conjecture for quasihomogeneous surfaces Show Chinese title

Title: 横截切片和准齐次曲面的扎里斯基重数猜想

Otoniel Nogueira da Silva, Manoel Messias da Silva Júnior

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

[15] arXiv:2509.01725 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Polynomiality of the Striling coefficients of $c(\mathrm{Pol}^d(\mathbb{C}^n))$ and Fano schemes Show Chinese title

Title: $c(\mathrm{Pol}^d(\mathbb{C}^n))$的斯特林系数和法诺纲数的多项式性

László M. Fehér, András P. Juhász

Comments: 38 pages

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

[16] arXiv:2509.02009 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Spherical and Semibrick Classifications Show Chinese title

Title: 球面和半砖分类

Wahei Hara, Michael Wemyss

Comments: 28 pages, contribution to the Proceedings of the XXI International Conference on Representations of Algebras (ICRA 21)

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

[17] arXiv:2509.02095 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Planar curve singularities relative to a smooth boundary Show Chinese title

Title: 平面曲线奇点相对于光滑边界

Nobuyoshi Takahashi

Subjects: Algebraic Geometry (math.AG)

[18] arXiv:2509.02277 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Cremona equivalence and log Kodaira dimension Show Chinese title

Title: 克雷莫纳等价与对数卡达伊维度

Massimiliano Mella

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG)

[19] arXiv:2509.02336 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Stability of syzygy bundles over certain curves of compact type Show Chinese title

Title: 某些紧致类型曲线上的分歧丛的稳定性

Amit Kumar Singh

Comments: 8 pages

Subjects: Algebraic Geometry (math.AG)

[20] arXiv:2509.02382 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A note on higher Green's functions Show Chinese title

Title: 关于高阶格林函数的一篇注记

Charles F. Doran, Matt Kerr

Comments: 14 pages; comments welcome!

Subjects: Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[21] arXiv:2509.02531 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Finite abelian groups acting on rationally connected threefolds II: groups of K3 type Show Chinese title

Title: 有限交换群在有理连通三维流形上的作用 II：K3 型群

Konstantin Loginov, Antoine Pinardin, Zhijia Zhang

Subjects: Algebraic Geometry (math.AG)

[22] arXiv:2509.02569 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Tropical geometry in torus bundles Show Chinese title

Title: 在环面丛中的热带几何

Emily Dodwell

Comments: 12 pages, 5 figures. MPhil thesis 2024, University of Cambridge

Subjects: Algebraic Geometry (math.AG)

[23] arXiv:2509.02950 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: On the Chow Rings of the Moduli Spaces $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$ Show Chinese title

Title: 关于模空间$\mathcal{M}_{5,8}$和$\mathcal{M}_{5,9}$的 Chow 环

Yuhan Liu

Subjects: Algebraic Geometry (math.AG)

[24] arXiv:2509.02991 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Sigma function associated with a hyperelliptic curve with two points at infinity Show Chinese title

Title: 与无穷远点为两个的双曲面曲线相关的Sigma函数

Takanori Ayano, Victor M. Buchstaber

Comments: 17 pages

Subjects: Algebraic Geometry (math.AG) ; Mathematical Physics (math-ph) ; Complex Variables (math.CV)

[25] arXiv:2509.03109 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On base point freeness for rank one foliations Show Chinese title

Title: 关于一类叶形的基点自由性

Paolo Cascini, Calum Spicer

Comments: 12 pages

Subjects: Algebraic Geometry (math.AG)