Algebraic Geometry

Authors and titles for math.AG in Sep 2023

[1]  arXiv:2309.00056 [pdf, ps, other]

Title: Enumerative invariants in self-dual categories. II. Homological invariants

Authors: Chenjing Bu

Comments: 122 pages

Subjects: Algebraic Geometry (math.AG)

[2]  arXiv:2309.00113 [pdf, ps, other]

Title: Geometric Endomorphisms of the Hesse moduli space of elliptic curves

Authors: Fabrizio Catanese (Bayreuth University and KIAS Seoul), Edoardo Sernesi (Universita' Roma 3)

Comments: 26 pages

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

[3]  arXiv:2309.00315 [pdf, ps, other]

Title: Mumford's formula on the universal Picard stack

Authors: Alessandro Chiodo, David Holmes

Comments: 43 pages, comments very welcome!

Subjects: Algebraic Geometry (math.AG)

[4]  arXiv:2309.00322 [pdf, ps, other]

Title: Connectedness and combinatorial interplay in the moduli space of line arrangements

Authors: Benoît Guerville-Ballé, Juan Viu-Sos

Comments: 20 pages, 5 figures. Minor revisions from v.1

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

[5]  arXiv:2309.00430 [pdf, ps, other]

Title: Torsion birational motives of surfaces and unramified cohomology

Authors: Kanetomo Sato, Takao Yamazaki

Comments: 28 pages; Introduction is revised; Remark 3.9 and Proposition 9.1 are added

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

[6]  arXiv:2309.00806 [pdf, ps, other]

Title: The Fiber of the Principal Minor Map

Authors: Abeer Al Ahmadieh

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

[7]  arXiv:2309.01031 [pdf, ps, other]

Title: Comparison and uniruledness of asymptotic base loci

Authors: Nikolaos Tsakanikas, Zhixin Xie

Comments: v2: minor changes, following the referee's comments; to appear in Michigan Math. J

Subjects: Algebraic Geometry (math.AG)

[8]  arXiv:2309.01053 [pdf, ps, other]

Title: An inequality for the Delta-genus of toric varieties

Authors: Shoetsu Ogata, Riki Tabei

Comments: 14 pages. We improve the statement of Theorem 3

Subjects: Algebraic Geometry (math.AG)

[9]  arXiv:2309.01057 [pdf, ps, other]

Title: Key varieties for prime $\mathbb{Q}$-Fano threefolds defined by Freudenthal triple systems

Authors: Hiromichi Takagi

Subjects: Algebraic Geometry (math.AG); Rings and Algebras (math.RA)

[10]  arXiv:2309.01388 [pdf, ps, other]

Title: Coherently complete algebraic stacks in positive characteristic

Authors: Jarod Alper, Jack Hall, David Benjamin Lim

Comments: 35 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[11]  arXiv:2309.01401 [pdf, ps, other]

Title: Residue formula for flag manifold of type $A$ from wall-crossing

Authors: Ryo Ohkawa

Subjects: Algebraic Geometry (math.AG)

[12]  arXiv:2309.01473 [pdf, ps, other]

Title: Twisted Equivariant Gromov-Witten Theory of the Classifying Space of a Finite Group

Authors: Zhuoming Lan, Zhengyu Zong

Comments: This paper is a non-abelian generalization of arXiv:1310.4812

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

[13]  arXiv:2309.01654 [pdf, other]

Title: Taking limits in topological recursion

Authors: Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram, Reinier Kramer, Sergey Shadrin

Comments: 83 pages, 12 figures

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

[14]  arXiv:2309.01747 [pdf, ps, other]

Title: The HHMP decomposition of the permutohedron and degenerations of torus orbits in flag varieties

Authors: Carl Lian

Comments: 15 pages, sections permuted, several references and details added

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

[15]  arXiv:2309.01846 [pdf, other]

Title: Equisingularity of families of map germs from the plane to 3-space

Authors: Otoniel Nogueira da Silva

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

[16]  arXiv:2309.01959 [pdf, ps, other]

Title: On (2,2)-decomposable genus 4 Jacobians

Authors: Nils Bruin, Avinash Kulkarni

Comments: 22 pages; comments welcome

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

[17]  arXiv:2309.02096 [pdf, ps, other]

Title: A note on the push-forward formulas for even orthogonal Grassmannians

Authors: Andrzej Weber, Magdalena Zielenkiewicz

Subjects: Algebraic Geometry (math.AG)

[18]  arXiv:2309.02154 [pdf, other]

Title: Mirror symmetric Gamma conjecture for del Pezzo surfaces

Authors: Bohan Fang, Junxiao Wang, Yan Zhou

Comments: 26 pages, 10 figures

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

[19]  arXiv:2309.02238 [pdf, ps, other]

Title: The geometry of antisymplectic involutions, II

Authors: Laure Flapan, Emanuele Macrì, Kieran G. O'Grady, Giulia Saccà

Comments: 35 pages

Subjects: Algebraic Geometry (math.AG)

[20]  arXiv:2309.02346 [pdf, ps, other]

Title: Toward Shimurian analogs of Barsotti-Tate groups

Authors: Vladimir Drinfeld

Comments: These are the notes of the lecture given at the Chinese University of Hong Kong

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

[21]  arXiv:2309.02511 [pdf, other]

Title: On proper splinters in positive characteristic

Authors: Johannes Krah, Charles Vial

Comments: 35 pages; removed the pseudo-rationality assumption in Theorems F and G. The derived invariance of global F-regularity now holds for normal Gorenstein projective varieties

Subjects: Algebraic Geometry (math.AG)

[22]  arXiv:2309.02587 [pdf, ps, other]

Title: The singular support of an $\ell$-adic sheaf

Authors: Owen Barrett

Comments: 31 pages. Section 3 reorganized. To appear in the Tunisian Journal of Mathematics

Subjects: Algebraic Geometry (math.AG)

[23]  arXiv:2309.02624 [pdf, other]

Title: On Zariski multiplicity conjecture for quasihomogeneous surfaces with non-isolated singularities

Authors: Otoniel Nogueira da Silva

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

[24]  arXiv:2309.02642 [pdf, ps, other]

Title: Two-pointed Prym-Brill-Noether Loci and coupled Prym-Petri theorem

Authors: Minyoung Jeon

Comments: 23 pages

Subjects: Algebraic Geometry (math.AG)

[25]  arXiv:2309.02684 [pdf, other]

Title: Functions on the moduli space of projective structures on complex curves

Authors: Indranil Biswas

Comments: Final version

Subjects: Algebraic Geometry (math.AG)

[26]  arXiv:2309.02982 [pdf, ps, other]

Title: Deformations and Simulatenous Resolutions of Determinantal Surfaces

Authors: Brian Makonzi

Comments: 14 pages. arXiv admin note: text overlap with arXiv:2208.11966

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

[27]  arXiv:2309.03066 [pdf, other]

Title: Cosection Localization for D-Manifolds and $(-2)$-Shifted Symplectic Derived Schemes, Revisited

Authors: Michail Savvas

Comments: 24 pages. Comments welcome!

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

[28]  arXiv:2309.03077 [pdf, ps, other]

Title: The Canonical Quadratic Pair on Clifford Algebras over Schemes

Authors: Cameron Ruether

Comments: 24 pages

Subjects: Algebraic Geometry (math.AG)

[29]  arXiv:2309.03141 [pdf, ps, other]

Title: Lefschetz-type theorems for the effective cone on Hyperkähler varieties

Authors: Jonas Baltes

Comments: 18 pages

Subjects: Algebraic Geometry (math.AG)

[30]  arXiv:2309.03143 [pdf, ps, other]

Title: Resurgent large genus asymptotics of intersection numbers

Authors: Bertrand Eynard, Elba Garcia-Failde, Alessandro Giacchetto, Paolo Gregori, Danilo Lewański

Comments: 47 pages, 7 figures

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Geometric Topology (math.GT)

[31]  arXiv:2309.03334 [pdf, ps, other]

Title: The 4-Intersection Unprojection Format

Authors: Vasiliki Petrotou

Comments: 15 pages. arXiv admin note: substantial text overlap with arXiv:2012.03079

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

[32]  arXiv:2309.03371 [pdf, ps, other]

Title: The Ekedahl-Oort Stratification and the Semi-Module Stratification

Authors: Ryosuke Shimada

Comments: 44 pages

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

[33]  arXiv:2309.03438 [pdf, ps, other]

Title: Extremal contractions and non-free rational curves on Fano varieties

Authors: Kiwamu Watanabe

Comments: 21 pages

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

[34]  arXiv:2309.03497 [pdf, other]

Title: On the containment problem and sporadic simplicial line arrangements

Authors: Marek Janasz

Comments: 11 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)

[35]  arXiv:2309.03673 [pdf, ps, other]

Title: Semistable refined Vafa-Witten invariants

Authors: Henry Liu

Comments: 31 pages. This is a corrected, generalized, and self-contained version of what was previously the last part of arXiv:2207.13546. v2: fixed an incorrect claim about pole-cancellation on the master space (Lemma 5.5)

Subjects: Algebraic Geometry (math.AG)

[36]  arXiv:2309.03741 [pdf, ps, other]

Title: Computations of Gromov-Witten invariants of toric varieties

Authors: Giosuè Muratore

Comments: 11 pages, examples included

Subjects: Algebraic Geometry (math.AG)

[37]  arXiv:2309.04008 [pdf, other]

Title: Counterexample to Néron-Ogg-Shafarevich criterion for Calabi-Yau threefolds

Authors: Tymoteusz Chmiel, Marcin Oczko

Subjects: Algebraic Geometry (math.AG)

[38]  arXiv:2309.04028 [pdf, ps, other]

Title: Algebra and Geometry of Camera Resectioning

Authors: Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas

Comments: 27 pages

Subjects: Algebraic Geometry (math.AG); Computer Vision and Pattern Recognition (cs.CV); Commutative Algebra (math.AC)

[39]  arXiv:2309.04080 [pdf, ps, other]

Title: On finite categories of algebraic varieties

Authors: Junho Peter Whang

Comments: 8 pages. Comments are welcome!

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

[40]  arXiv:2309.04322 [pdf, ps, other]

Title: An invitation to equimultiplicity of F-invariants

Authors: Ilya Smirnov

Comments: V2: some typos and inaccuracies fixed. Comments are welcome

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

[41]  arXiv:2309.04334 [pdf, other]

Title: On Frobenius structures in symmetric cones

Authors: Noemie C. Combe

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

[42]  arXiv:2309.04673 [pdf, ps, other]

Title: On the relative Morrison-Kawamata cone conjecture (II)

Authors: Zhan Li

Comments: 32 pages

Subjects: Algebraic Geometry (math.AG)

[43]  arXiv:2309.04866 [pdf, other]

Title: Algebraic geometry of the multilayer model of the fractional quantum Hall effect on a torus

Authors: Igor Burban, Semyon Klevtsov

Subjects: Algebraic Geometry (math.AG); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)

[44]  arXiv:2309.04983 [pdf, ps, other]

Title: On intersection of lemniscates of rational functions

Authors: Stepan Orevkov, Fedor Pakovich

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

[45]  arXiv:2309.05008 [pdf, ps, other]

Title: Numerical characterization of the hard Lefschetz classes of dimension two

Authors: Jiajun Hu, Jian Xiao

Comments: 37 pages; comments welcome! arXiv admin note: text overlap with arXiv:2011.04059 by other authors

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

[46]  arXiv:2309.05012 [pdf, ps, other]

Title: Canonical coordinates for moduli spaces of rank two irregular connections on curves

Authors: Arata Komyo, Frank Loray, Masa-Hiko Saito, Szilard Szabo

Comments: a sign fixed and a reference added

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

[47]  arXiv:2309.05048 [pdf, ps, other]

Title: Properties of Hesse derivatives of cubic curves

Authors: Sayan Dutta, Lorenz Halbeisen, Norbert Hungerbühler

Comments: 14 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)

[48]  arXiv:2309.05097 [pdf, ps, other]

Title: Cohomological rank functions and surfaces of general type with $p_g=q=2$

Authors: Jiabin Du, Zhi Jiang, Guoyun Zhang

Comments: Some references added and a minor mistake in Proposition 7.1 is corrected

Subjects: Algebraic Geometry (math.AG)

[49]  arXiv:2309.05291 [pdf, ps, other]

Title: K-stability and large complex structure limits

Authors: Jacopo Stoppa

Comments: Slightly expanded Section 2

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

[50]  arXiv:2309.05301 [pdf, other]

Title: Classification of normal phylogenetic varieties for tripods

Authors: Rodica Andreea Dinu, Martin Vodička

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