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)

[26] arXiv:2509.03180 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Deformations of twisted sheaves and formality results Show Chinese title

Title: 扭曲层的形变和形式性结果

Francesco Meazzini, Claudio Onorati

Comments: 21 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[27] arXiv:2509.03352 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Birational zeta functions Show Chinese title

Title: 有理zeta函数

Tom Biesbrouck, Nero Budur, Johannes Nicaise, Willem Veys

Subjects: Algebraic Geometry (math.AG)

[28] arXiv:2509.03504 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Recognizing flag varieties and reductive groups Show Chinese title

Title: 识别旗形品种和约化群

I. Grojnowski, N. I. Shepherd-Barron

Comments: Details added to the proof of Th. 6.2, typo corrected in the proof of Th. 6.8

Subjects: Algebraic Geometry (math.AG)

[29] arXiv:2509.03650 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: DR cycles and strata of differentials with spin parity Show Chinese title

Title: DR循环和具有自旋奇偶性的微分形式的层

David Holmes, Georgios Politopoulos, Adrien Sauvaget

Comments: 66 pages

Subjects: Algebraic Geometry (math.AG)

[30] arXiv:2509.03700 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On the Clemens-Schmid exact sequence Show Chinese title

Title: 关于克莱门斯-施密德正合序列

R. Virk

Subjects: Algebraic Geometry (math.AG)

[31] arXiv:2509.03747 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Realization of Cohomology Classes in Grassmannians Show Chinese title

Title: 格拉斯曼流形中上同调类的实现

Izzet Coskun, Julius Ross

Subjects: Algebraic Geometry (math.AG)

[32] arXiv:2509.03773 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Co-Higgs bundles of Schwarzenberger type and the determinant morphism Show Chinese title

Title: 施瓦茨恩贝格型共切线丛与行列式态射

Kuntal Banerjee

Comments: 9 pages

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[33] arXiv:2509.03783 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A primer on measures of irrationality Show Chinese title

Title: 有理数性的度量简介

Nathan Chen, Olivier Martin

Comments: 29 pages; this work grew out of the March 2024 AIM workshop "Degree d points on algebraic surfaces"

Subjects: Algebraic Geometry (math.AG)

[34] arXiv:2509.03881 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Fourier-Orbit Construction of GKZ-Type Systems for Commutative Linear Algebraic Groups Show Chinese title

Title: GKZ型系统在交换线性代数群上的傅里叶轨道构造

Go Okuyama

Comments: We found a serious flaw in the proof of Proposition 5.18, affecting the validity of the main result on the surjection onto the diagonal GKZ system. The current argument does not ensure well-definedness with unipotent contributions. We will revise and provide a corrected approach in a future version

Subjects: Algebraic Geometry (math.AG)

[35] arXiv:2509.03982 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper Show Chinese title

Title: 带有静止$\mathrm{PGL}_2^{(N)}$-操作的带点稳定曲线模空间的不可约性

Yasuhiro Wakabayashi

Comments: 55 pages, 2 figures

Subjects: Algebraic Geometry (math.AG)

[36] arXiv:2509.03993 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Explicit computation of the generic degree of the generalized Verschiebung in rank two Show Chinese title

Title: 二维情形下广义Verschiebung的通用次数的显式计算

Yuki Kondo, Yasuhiro Wakabayashi

Comments: 28 pages, 1 figure

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

[37] arXiv:2509.03994 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$ Show Chinese title

Title: 广义超几何方程和特征$\leq 7$中休眠操作的$2$d TQFT

Keita Mori, Yasuhiro Wakabayashi

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[38] arXiv:2509.04172 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Welschinger--Witt invariants Show Chinese title

Title: Welschinger--Witt不变量

Erwan Brugallé, Johannes Rau, Kirsten Wickelgren

Comments: 49 pages, 1 figure

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

[39] arXiv:2509.04274 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Algebraic magnetism stratification of the double scalar action on the projective plane Show Chinese title

Title: 射影平面上双标量作用的代数磁性分层

Arnaud Mayeux

Subjects: Algebraic Geometry (math.AG)

[40] arXiv:2509.04335 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: One part leaky covers Show Chinese title

Title: 一部分泄漏覆盖

Renzo Cavalieri, Hannah Markwig, Johannes Schmitt

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

[41] arXiv:2509.04341 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: An axiomatic approach to analytic $1$-affineness Show Chinese title

Title: 一种公理化方法到解析$1$-仿射性

Matteo Montagnani, Emanuele Pavia

Comments: Comments welcome!

Subjects: Algebraic Geometry (math.AG) ; Category Theory (math.CT)

[42] arXiv:2509.04354 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On the Homogeneous Space of a Pair of Associative Composition Algebras Show Chinese title

Title: 关于一对结合组合代数的齐次空间

Mahir Bilen Can, Ana Casimiro, Ferruh Özbudak

Comments: 40 pages. Includes corrections from a first version

Subjects: Algebraic Geometry (math.AG)

[43] arXiv:2509.04382 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Differential forms on varieties with pre-$k$-rational singularities Show Chinese title

Title: 流形上的微分形式与预-$k$-有理奇点

Scott Hiatt

Comments: 14 pages. Comments welcome!

Subjects: Algebraic Geometry (math.AG)

[44] arXiv:2509.04433 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Bertini's theorem for $F$-rational $F$-pure singularities Show Chinese title

Title: 贝蒂尼关于$F$有理$F$纯奇点的定理

Alessandro De Stefani, Thomas Polstra, Austyn Simpson

Comments: 16 pages, comments welcome

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

[45] arXiv:2509.04607 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Euler characteristics of Kollár-hyperbolic varieties Show Chinese title

Title: Kollár-双曲流形的欧拉示性数

Donu Arapura

Comments: 23 pages

Subjects: Algebraic Geometry (math.AG)

[46] arXiv:2509.04690 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Relative Quasimaps and Tilting Module of $U(\mathfrak{gl}_n)$ Show Chinese title

Title: 相对准映射和$U(\mathfrak{gl}_n)$的倾斜模

Che Shen

Comments: 24 pages

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

[47] arXiv:2509.04954 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Prismatic cohomology and $A_{\inf}$-cohomology with coefficients Show Chinese title

Title: 棱柱上同调与带系数的$A_{\inf}$上同调

Takeshi Tsuji

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

[48] arXiv:2509.05063 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Quotients of flag varieties and their birational geometry Show Chinese title

Title: 旗变换的商及其双有理几何

Lorenzo Barban, Gianluca Occhetta, Luis E. Solá Conde

Comments: 40 pages, 8 figures

Subjects: Algebraic Geometry (math.AG)

[49] arXiv:2509.05077 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The Deligne-Riemann-Roch isomorphism Show Chinese title

Title: 德林-黎曼-罗赫同构

Dennis Eriksson, Gerard Freixas i Montplet

Comments: Sequel to "DELIGNE-RIEMANN-ROCH AND INTERSECTION BUNDLES", DOI : 10.5802/jep.254. See Arxiv version arXiv:2305.13129

Subjects: Algebraic Geometry (math.AG)

[50] arXiv:2509.05194 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Rational self-maps of projective surfaces with a regular iterate Show Chinese title

Title: 有正则迭代的射影曲面的有理自映射

Sina Saleh

Subjects: Algebraic Geometry (math.AG) ; Dynamical Systems (math.DS)