Algebraic Geometry

Authors and titles for January 2022

[201] arXiv:2201.10136 (cross-list from math.NT) [pdf, other]

Title: Hodge-Tate prismatic crystals and Sen theory

Hui Gao

Comments: All results in this preprint are now contained (as a subset) in the preprint 2311.07024 (which uses same title as this preprint). Please read that preprint instead. We apologize for confusions

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

[202] arXiv:2201.10225 (cross-list from math-ph) [pdf, html, other]

Title: Quantization of derived cotangent stacks and gauge theory on directed graphs

Marco Benini, Jonathan P. Pridham, Alexander Schenkel

Comments: v3: 38 pages. Final version accepted for publication in Advances in Theoretical and Mathematical Physics

Journal-ref: Advances in Theoretical and Mathematical Physics, Vol. 27, No. 5 (2023), pp. 1275-1332

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[203] arXiv:2201.10462 (cross-list from math.RT) [pdf, other]

Title: Untwisted Gaiotto equivalence

Roman Travkin, Ruotao Yang

Comments: 40 pages, published version, add acknowledgements and references

Journal-ref: Advances in Mathematics, Volume 435, Part A, 2023, 109359, ISSN 0001-8708

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

[204] arXiv:2201.10537 (cross-list from math.AT) [pdf, other]

Title: Trees, graphs and aggregates: a categorical perspective on combinatorial surface topology, geometry, and algebra

Clemens Berger, Ralph M. Kaufmann

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Combinatorics (math.CO); Category Theory (math.CT); Quantum Algebra (math.QA)

[205] arXiv:2201.10624 (cross-list from math.NT) [pdf, other]

Title: Rational Points of Bounded Height on Some Genus Zero Modular Curves over Number Fields

Tristan Phillips

Comments: 39 pages. Corrected the proof and leading coefficient in results for counting points on weighted projective spaces. Rewrote introduction. Split off results about ranks into its own paper. Comments welcome!

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

[206] arXiv:2201.10669 (cross-list from math.SG) [pdf, other]

Title: Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications

Dahye Cho

Comments: 55 pages, 1 figure

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

[207] arXiv:2201.10837 (cross-list from math.GT) [pdf, html, other]

Title: On a canonical polynomial for links of elliptic singularities

Tamás László

Comments: 30 pages, sections 3,6,7 are slightly rewritten

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

[208] arXiv:2201.11077 (cross-list from math.NT) [pdf, other]

Title: Bounds on the number of rational points of curves in families

Pedro Lemos, Alex Torzewski

Comments: 12 pages, version to appear in the Bulletin of the London Mathematical Society

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

[209] arXiv:2201.11375 (cross-list from math.NT) [pdf, other]

Title: On sections of arithmetic fundamental groups of open p-adic annuli

Mohamed Saidi

Comments: To appear in Comptes Rendues de l'Académie des Sciences Paris

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

[210] arXiv:2201.11458 (cross-list from math.CV) [pdf, other]

Title: Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds

Yongpan Zou

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

[211] arXiv:2201.11788 (cross-list from math.AC) [pdf, other]

Title: Algebraic properties of Levi graphs associated with curve arrangements

Piotr Pokora, Tim Römer

Comments: 20 pages. This is the final version incorporating the referee's remarks, to appear in Research in the Mathematical Sciences

Journal-ref: Research in the Mathematical Sciences 9: Article ID 30 (2022)

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

[212] arXiv:2201.11820 (cross-list from math-ph) [pdf, other]

Title: On the number of $p$-hypergeometric solutions of KZ equations

Alexander Varchenko

Comments: Latex, 19 pages

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

[213] arXiv:2201.12223 (cross-list from hep-th) [pdf, other]

Title: A-branes, foliations and localization

Sibasish Banerjee, Pietro Longhi, Mauricio Romo

Comments: 51 pages

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

[214] arXiv:2201.12316 (cross-list from math.CO) [pdf, other]

Title: (Hurwitz-)Brill-Noether general marked graphs via the Demazure product

Nathan Pflueger

Comments: 14 pages. Comments welcome. v2: Added examples and exposition; minor corrections

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

[215] arXiv:2201.12319 (cross-list from math.RT) [pdf, other]

Title: Arithmetic Representation Growth of Virtually Free Groups

Fabian Korthauer

Comments: SageMath 9.1 code attached

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

[216] arXiv:2201.12562 (cross-list from math.DG) [pdf, other]

Title: Optimal Symplectic Connections and Deformations of Holomorphic Submersions

Annamaria Ortu

Comments: 37 pages

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

[217] arXiv:2201.12689 (cross-list from math-ph) [pdf, other]

Title: Hyperbolic band theory through Higgs bundles

Elliot Kienzle, Steven Rayan

Comments: 38 pages, 13 figures, 1 table

Journal-ref: Adv. Math. 409 (2022), paper no. 108664

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Physics (quant-ph)

[218] arXiv:2201.12802 (cross-list from math.CV) [pdf, html, other]

Title: Berndtsson-Lempert-Sz\H{o}ke Fields Associated to Proper Holomorphic Families of Vector Bundles

Dror Varolin

Comments: 64 pages. Final Version. To appear in Advances in Math

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

[219] arXiv:2201.13002 (cross-list from math.AC) [pdf, other]

Title: Torsion in Differentials and Berger's Conjecture

Craig Huneke, Sarasij Maitra, Vivek Mukundan

Journal-ref: Research in the Mathematical Sciences 8.4 (2021): 1-15

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

[220] arXiv:2201.13132 (cross-list from cs.LG) [pdf, other]

Title: On the identifiability of mixtures of ranking models

Xiaomin Zhang, Xucheng Zhang, Po-Ling Loh, Yingyu Liang

Comments: 44 pages. Comments are very welcome

Subjects: Machine Learning (cs.LG); Algebraic Geometry (math.AG); Machine Learning (stat.ML)

[221] arXiv:2201.13346 (cross-list from math.RT) [pdf, other]

Title: Perverse sheaves, nilpotent Hessenberg varieties, and the modular law

Martha Precup, Eric Sommers

Comments: 27 pages

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