Algebraic Geometry

Authors and titles for September 2025

[301] arXiv:2509.18969 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Rational K3 Homotopy and the Largest Mathieu Group Show Chinese title

Title: 有理K3同伦和最大的Mathieu群

Federico Carta, John F. R. Duncan, Yang-Hui He

Comments: 32 pages

Subjects: Representation Theory (math.RT) ; High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG)

[302] arXiv:2509.19011 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Addition theorems for Ziegler pairs of hyperplane arrangements Show Chinese title

Title: Ziegler 对的超平面排列的加法定理

Takuro Abe, Lukas Kühne, Piotr Pokora

Comments: 14 pages, comments are welcome

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

[303] arXiv:2509.19118 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: B-facets in dimension 4 Show Chinese title

Title: 4维中的B面

Fedor Selyanin

Comments: 11 pages, 11 figures

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

[304] arXiv:2509.19237 (cross-list from math.GR) [cn-pdf, pdf, html, other]

Title: On the resolvent degree of PSU(3,q) Show Chinese title

Title: 关于PSU(3,q)的预解式次数

Pablo Nicolas Christofferson, Akash Ganguly, Claudio Gomez-Gonzales, Ella Kuriyama, Yihan Carmen Li, Nawal Baydoun

Comments: 18 pages, 16 tables. Appendix joint with Nawal Baydoun

Subjects: Group Theory (math.GR) ; Algebraic Geometry (math.AG)

[305] arXiv:2509.19692 (cross-list from math.GR) [cn-pdf, pdf, html, other]

Title: Signatures of alternating group actions with non-zero quotient genus Show Chinese title

Title: 交替群作用的签名与非零商亏格

Jennifer Paulhus, Aaron Wootton

Comments: 12 pages

Subjects: Group Theory (math.GR) ; Algebraic Geometry (math.AG)

[306] arXiv:2509.19699 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: Stably free modules of rank $2$ over certain real smooth affine threefolds Show Chinese title

Title: 稳定自由模在某些实光滑仿射三维流形上的秩$2$

Tariq Syed

Comments: 8 pages; comments welcome!

Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) ; K-Theory and Homology (math.KT)

[307] arXiv:2509.19905 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Reconstrucion of oriented matroids from Varchenko-Gelfand algebras Show Chinese title

Title: 从Varchenko-Gelfand代数中重构有向拟阵

Yukino Yagi, Masahiko Yoshinaga

Comments: 25 pages, 13 figures

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

[308] arXiv:2509.19989 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: Ricci Flow on Weighted Digraphs with Balancing Factor Show Chinese title

Title: 带平衡因子的加权有向图上的里奇流

Shuliang Bai, Rui Li, Shuang Liu, Xin Lai

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

[309] arXiv:2509.20331 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Operads of moduli spaces of points in $\mathbb{C}^d$ revisited Show Chinese title

Title: 点在$\mathbb{C}^d$上的模空间操作子的重新审视

Vladimir Dotsenko, Eduardo Hoefel, Sergey Shadrin, Grigory Solomadin

Comments: 43 pages, comments are welcome

Subjects: Algebraic Topology (math.AT) ; Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG) ; K-Theory and Homology (math.KT) ; Quantum Algebra (math.QA)

[310] arXiv:2509.20470 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The arithmetic rank of determinantal nullcones Show Chinese title

Title: 行列式零点的算术秩

Jack Jeffries, Vaibhav Pandey, Anurag K. Singh, Uli Walther

Comments: Preliminary version; comments welcome

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

[311] arXiv:2509.20606 (cross-list from math.AC) [cn-pdf, pdf, html, other]

Title: The Adjoint Polynomial of a Polyhedral Cone is a Covolume Polynomial Show Chinese title

Title: 伴随多项式是多面体锥的协体积多项式

Guanxi Li

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

[312] arXiv:2509.20685 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: A Morse complex for the homology of vanishing cycles Show Chinese title

Title: 一个关于消失循环同调的莫尔斯复形

Aleksander Doan, Juan Muñoz-Echániz

Comments: 29 pages. Comments are welcome!

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

[313] arXiv:2509.20815 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Quiver moduli and quantum loop algebras Show Chinese title

Title: 箭图模空间和量子环代数

Andrei Neguţ

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

[314] arXiv:2509.20872 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Bigraded Polynomials for the Cohomology of Wild Hitchin Systems Show Chinese title

Title: 双分次多项式用于野 Hitchin 系统的上同调

Dan Xie

Comments: 27 pages, 1 figures, 6 tables

Subjects: High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[315] arXiv:2509.21255 (cross-list from math.AT) [cn-pdf, pdf, html, other]

Title: Graphical configuration spaces, Contractads and Formality Show Chinese title

Title: 图形配置空间，Contractads 和形式性

Anton Khoroshkin, Denis Lyskov

Comments: 38 pages, comments are welcome

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