Algebraic Geometry

Authors and titles for February 2025

[1] arXiv:2502.00259 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Stringy Chow rings and weighted blow ups Show Chinese title

Title: 弦状Chow环与加权爆破

Qiangru Kuang, Yeqin Liu, Rachel Webb, Weihong Xu

Comments: 28 pages

Subjects: Algebraic Geometry (math.AG)

[2] arXiv:2502.00332 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Pathology of formal locally-trivial deformations in positive characteristic Show Chinese title

Title: 正特征下形式局部平凡形变的病理学

Takuya Miyamoto

Subjects: Algebraic Geometry (math.AG)

[3] arXiv:2502.00458 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Show Chinese title

Title: 具有单一分歧奇点的环面有理曲线最不稳定的1参数子群

Joshua Jackson, David Swinarski

Comments: Code for this project available at https://faculty.fordham.edu/dswinarski/Worst1PS/v1/

Subjects: Algebraic Geometry (math.AG)

[4] arXiv:2502.00549 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Almost All Transverse-Free Plane Curves Are Trivially Transverse-Free Show Chinese title

Title: 几乎所有无横截面的平面曲线显然是无横截面的

Alejandro Lopez, Bella Villarreal, Ren Watson, Jaedon Whyte

Comments: 21 pages, no figures

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

[5] arXiv:2502.00623 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On compact Kähler manifolds with pseudo-effective tangent bundle Show Chinese title

Title: 关于具有伪有效切丛的紧凯勒流形

Shin-ichi Matsumura, Chenghao Qing

Comments: 10 pages, comments are welcome

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

[6] arXiv:2502.00732 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: On cyclic groups covers of the projective line Show Chinese title

Title: 关于循环群覆盖射影直线的研究

George Katsimprakis, Aristides Kontogeorgis

Comments: 22 pages, 5 figures

Subjects: Algebraic Geometry (math.AG)

[7] arXiv:2502.00790 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On minimal model program and Zariski decomposition of potential triples Show Chinese title

Title: 关于极小模型纲领和势三元组的扎里斯基分解

Sung Rak Choi, Sungwook Jang, Dae-Won Lee

Subjects: Algebraic Geometry (math.AG)

[8] arXiv:2502.01072 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Compactification of homology cells, Fujita's conjectures and the complex projective space Show Chinese title

Title: 紧化同调胞腔、藤田猜想与复射影空间

Ping Li, Thomas Peternell

Comments: 11 pages. This version combines arXiv:2410.07207v4 (Peternell) with arXiv:2502.01072v1 (Li) to become a joint paper

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

[9] arXiv:2502.01124 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On flexes associated with higher-order flexible bar-joint frameworks Show Chinese title

Title: 关于与高阶可动杆关节框架相关的拐点

Georg Nawratil

Comments: 12 pages, 2 figures

Subjects: Algebraic Geometry (math.AG)

[10] arXiv:2502.01149 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Parabolic automorphisms of hyperk{ä}hler manifolds: Orbits and Betti maps Show Chinese title

Title: hyperk{ä}hler 流形的抛物自同构：轨道和 Betti 映射

Ekaterina Amerik (LMO), Serge Cantat (IRMAR)

Subjects: Algebraic Geometry (math.AG)

[11] arXiv:2502.01239 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Teissier singularities Show Chinese title

Title: Teissier奇点

Hussein Mourtada, Bernd Schober

Subjects: Algebraic Geometry (math.AG)

[12] arXiv:2502.01370 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: The number of smooth varieties in an MMP on a 3-fold of Fano type Show Chinese title

Title: 关于Fano型三维簇的MMP中的光滑簇的数量

Donghyeon Kim

Comments: Comments welcome

Subjects: Algebraic Geometry (math.AG)

[13] arXiv:2502.01404 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Generators of the algebraic symplectic bordism ring Show Chinese title

Title: 代数辛 bordism 环的生成元

Pietro Gigli

Comments: Minor corrections, mostly regarding typos, terminology, references

Subjects: Algebraic Geometry (math.AG)

[14] arXiv:2502.01412 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Moduli of sheaves on ribbons Show Chinese title

Title: 赋值层模空间

Michele Savarese, Filippo Viviani

Comments: v2: 37 pages, added the computation of tangent spaces

Subjects: Algebraic Geometry (math.AG)

[15] arXiv:2502.01504 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Finiteness of formal pushforwards Show Chinese title

Title: 形式正向的有限性

David Harbater, Julia Hartmann, Daniel Krashen

Comments: 30 pages, new material added at the end of Section 7

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

[16] arXiv:2502.01539 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Ideal of the variety of flexes of plane cubics Show Chinese title

Title: 平面三次曲线拐点簇的理想

Vladimir L. Popov

Comments: 9 pages. The text after formula (34) of version 1 is changed to fix a calculation inaccuracy in the last line of formula (44) of version 1

Subjects: Algebraic Geometry (math.AG)

[17] arXiv:2502.01902 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Isocrystals and de Rham-Witt connections Show Chinese title

Title: 结晶体与德·拉姆- Witt 连接

Rubén Muñoz--Bertrand

Comments: 28 pages

Subjects: Algebraic Geometry (math.AG)

[18] arXiv:2502.02075 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hyperflex loci of hypersurfaces Show Chinese title

Title: 超弹性簇的超曲面

Cristina Bertone, Martin Weimann

Comments: 19 pages

Subjects: Algebraic Geometry (math.AG)

[19] arXiv:2502.02082 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Spinor modifications of conic bundles and derived categories of 1-nodal Fano threefolds Show Chinese title

Title: 旋量变换的圆锥束和导出的1-结点法诺三维簇的范畴

Alexander Kuznetsov

Comments: v2: 27 pages; to appear in Proc. Steklov Inst. Math

Subjects: Algebraic Geometry (math.AG)

[20] arXiv:2502.02143 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A twisted derived category of hyper-Kähler varieties of $K3^{[n]}$-type Show Chinese title

Title: 一种扭曲的超凯勒流形$K3^{[n]}$型导出范畴

Ruxuan Zhang

Comments: 22 pages, improve writing, add a case in theorem 3.8

Subjects: Algebraic Geometry (math.AG)

[21] arXiv:2502.02297 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve Show Chinese title

Title: 通过椭圆曲线的Gromov-Witten理论得到的法伯基核交点数

Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh

Subjects: Algebraic Geometry (math.AG)

[22] arXiv:2502.02569 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Quadratically Enriched Plane Curve Counting via Tropical Geometry Show Chinese title

Title: 基于热带几何的二次富集平面曲线计数

Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli, Felix Röhrle

Comments: 75 pages (fullpage format), 10 figures, 5 tables. V2 minor revision and corrected typos

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

[23] arXiv:2502.02981 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A determinant on birational maps of Severi-Brauer surfaces Show Chinese title

Title: 关于 Severi-Brauer 曲面的有理映射的一个行列式

Elias Kurz

Comments: 36 pages, 1 Figure

Subjects: Algebraic Geometry (math.AG)

[24] arXiv:2502.03071 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hodge theory and o-minimality at CIRM Show Chinese title

Title: 霍奇理论与CIRM的极小性

Gregorio Baldi

Comments: Lecture notes for a mini-course during the CIRM-SMF program (15-19 Jan, Luminy, France, 2024). First version, comments are welcome!

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

[25] arXiv:2502.03137 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Positivity of line bundles on general blow ups of Hirzebruch surfaces Show Chinese title

Title: Hirzebruch曲面一般blow-up上的线丛的正性

Cyril J. Jacob, Bivas Khan

Comments: Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[26] arXiv:2502.03415 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds Show Chinese title

Title: 来自阿贝尔 n- 折叠 secant 层的 Weil 型阿贝尔 2n- 折叠上的循环

Eyal Markman

Comments: v2: 96 pages, 1 figure. Improved notation consistency and added a table of notation as Section 12. Section 8.1 is new

Subjects: Algebraic Geometry (math.AG)

[27] arXiv:2502.03816 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Ultra-test ideals in rings with finitely generated anti-canonical algebras Show Chinese title

Title: 具有有限生成反典范代数的环中的超检验理想

Tatsuki Yamaguchi

Comments: 18 pages

Subjects: Algebraic Geometry (math.AG)

[28] arXiv:2502.04119 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Gotzmann's persistence theorem for Mori dream spaces Show Chinese title

Title: 戈茨曼的持久性定理对于Mori向量空间

Patience Ablett

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

[29] arXiv:2502.04148 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Hodge microsheaves on cotangent bundles and plumbings Show Chinese title

Title: 余切丛和焊接上的霍奇小微束

Tatsuki Kuwagaki, Takahiro Saito

Comments: 112 pages

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

[30] arXiv:2502.04253 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Cohomology of symmetric stacks Show Chinese title

Title: 对称堆栈的上同调

Chenjing Bu, Ben Davison, Andrés Ibáñez Núñez, Tasuki Kinjo, Tudor Pădurariu

Comments: 131 pages. v2: many improvements

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

[31] arXiv:2502.04301 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Type II Degenerations of K3 Surfaces of Degree 4 Show Chinese title

Title: 度4的K3曲面的II型退化

James Matthew Jones

Comments: 28 pages, 1 figure. v2: Corrected the equation defining the family in section 3.4, plus some other minor changes; mathematical results unaffected

Subjects: Algebraic Geometry (math.AG)

[32] arXiv:2502.04608 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Algebraic cycles and values of Green's functions I- Products of Elliptic Curves Show Chinese title

Title: 代数循环与格林函数的值 I——椭圆曲线的乘积

Ramesh Sreekantan (with an appendix by Kannappan Sampath)

Comments: 35 pages

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

[33] arXiv:2502.04672 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: The Nakai Conjecture for isolated hypersurface singularities of modality $\le 2$ Show Chinese title

Title: 关于模态为$\le 2$的孤立超曲面奇点的Nakai猜想

Rui Li, Zida Xiao, Huaiqing Zuo

Subjects: Algebraic Geometry (math.AG)

[34] arXiv:2502.04881 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Nonarchimedean and motivic stationary phase formulas Show Chinese title

Title: 非阿基米德和动机性的平稳相位公式

Téofil Adamski

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

[35] arXiv:2502.04956 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Classification of unimodal isolated complete intersection singularities in positive characteristic Show Chinese title

Title: 正特征下单峰孤立完全交点奇异性分类

Hongrui Ma, Stephen S.-T. Yau, Huaiqing Zuo

Comments: 37 pages

Subjects: Algebraic Geometry (math.AG)

[36] arXiv:2502.04966 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Hitchin fibrations are Ngô fibrations Show Chinese title

Title: Hitchin纤维化是Ngô纤维化

Mark Andrea de Cataldo, Roberto Fringuelli, Andres Fernandez Herrero, Mirko Mauri

Comments: 98 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[37] arXiv:2502.04980 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Mixed Eulerian numbers and beyond Show Chinese title

Title: 混合欧拉数及其拓展

Gaku Liu, Mateusz Michałek, Julian Weigert

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

[38] arXiv:2502.05022 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: On a suspension formula for Denef-Loeser zeta functions Show Chinese title

Title: 关于Denef-Loeser泽塔函数的悬链线公式

E. Artal Bartolo, P. D. González Pérez, M. González Villa, E. León-Cardenal

Subjects: Algebraic Geometry (math.AG)

[39] arXiv:2502.05146 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Torsion pairs and 3-fold flops Show Chinese title

Title: 扭转对与三折叠翻转

Parth Shimpi

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

[40] arXiv:2502.05257 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Formal Integration of Derived Foliations Show Chinese title

Title: 形式积分导出叶状结构

Lukas Brantner, Kirill Magidson, Joost Nuiten

Comments: 89 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)

[41] arXiv:2502.05294 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Hecke transformation for orthogonal bundles over curves Show Chinese title

Title: 曲线上的正交丛的Hecke变换

Christian Pauly, Hacen Zelaci

Comments: 21 pages

Subjects: Algebraic Geometry (math.AG)

[42] arXiv:2502.05421 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Slopes and weights of $\ell$-adic cohomology of rigid spaces Show Chinese title

Title: 斜率与刚性空间的$\ell$-adic 上同调的权

Qing Lu, Weizhe Zheng

Comments: 18 pages. v2: fixed typos

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

[43] arXiv:2502.05624 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Tropical split Jacobians of curves of genus 2 II Show Chinese title

Title: 热带分裂雅可比簇，第二部分：亏格为2的曲线

Lou-Jean Leila Cobigo

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

[44] arXiv:2502.05834 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: What Kind of Morphisms Induces Covering Maps over a Real Closed Field? Show Chinese title

Title: 实闭域上的覆盖映射由什么样的态射诱导？

Rizeng Chen

Comments: 17 pages, 5 figures. Submitted version

Subjects: Algebraic Geometry (math.AG) ; Symbolic Computation (cs.SC)

[45] arXiv:2502.05848 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: A simple derived categorical generalization of Ulrich bundles Show Chinese title

Title: Ulrich丛的一个简单的导出范畴推广

Tomoki Yoshida

Comments: 17 pages

Subjects: Algebraic Geometry (math.AG)

[46] arXiv:2502.06108 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Computation method for perfectoid purity and perfectoid BCM-regularity Show Chinese title

Title: 完美oid纯度和完美oid BCM正则性的计算方法

Shou Yoshikawa

Comments: 43 pages, v7:Revided the proof of Proposition 6.8

Subjects: Algebraic Geometry (math.AG)

[47] arXiv:2502.06187 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Reconstruction of $g=1$ permutation equivariant quantum $K$-invariants Show Chinese title

Title: 重建置换等变量子 $g=1$ 不变量的 $K$

Dun Tang

Comments: 15 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[48] arXiv:2502.06218 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: The basic locus of ramified unitary Rapoport-Zink space at maximal vertex level Show Chinese title

Title: 具有最大顶点水平的分歧酉 Rapoport-Zink 空间的基底簇

Qiao He, Yu Luo, Yousheng Shi

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

[49] arXiv:2502.06290 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Quasi-homogeneous singularities of projective hypersurfaces and Jacobian syzygies Show Chinese title

Title: 拟齐次投影超曲面奇点与雅可比关系式

Aline V. Andrade, Valentina Beorchia, Alexandru Dimca, Rosa M. Miró-Roig

Comments: 17 pages

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

[50] arXiv:2502.06365 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one Show Chinese title

Title: 具有Picard数为一的Fano三维流形上的曲面代数双曲性

Haesong Seo

Comments: 25 pages

Subjects: Algebraic Geometry (math.AG)