Algebraic Geometry

Authors and titles for December 2018

[201] arXiv:1812.05153 (cross-list from math.NT) [pdf, other]

Title: A crystalline incarnation of Berthelot's conjecture and K\"unneth formula for isocrystals

Valentina Di Proietto, Fabio Tonini, Lei Zhang

Comments: Revised version following a referee report

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

[202] arXiv:1812.05342 (cross-list from math.KT) [pdf, other]

Title: Towards Vorst's conjecture in positive characteristic

Moritz Kerz, Florian Strunk, Georg Tamme

Comments: v1: 23 pages; v2: added a result for curves in mixed characteristic, 30 pages; v3: final version, 31 pages

Journal-ref: Compositio Math. 157 (2021) 1143-1171

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

[203] arXiv:1812.05514 (cross-list from math.FA) [pdf, other]

Title: On Archimedean Zeta Functions and Newton Polyhedra

Fuensanta Aroca, Mirna Gómez-Morales, Edwin León-Cardenal

Comments: 19 pages. Comments welcome!

Journal-ref: Journal of Mathematical Analysis and Applications 2019

Subjects: Functional Analysis (math.FA); Algebraic Geometry (math.AG)

[204] arXiv:1812.05565 (cross-list from math.NA) [pdf, other]

Title: A new Algorithm for Overcomplete Tensor Decomposition based on Sums-of-Squares Optimisation

Alexander Taveira Blomenhofer

Comments: ~70 pages. Master's Thesis being uploaded for reference

Subjects: Numerical Analysis (math.NA); Algebraic Geometry (math.AG); Optimization and Control (math.OC)

[205] arXiv:1812.05567 (cross-list from hep-th) [pdf, other]

Title: Twisted Indices of 3d ${\mathcal N} = 4$ Gauge Theories and Enumerative Geometry of Quasi-Maps

Mathew Bullimore, Andrea E.V. Ferrari, Heeyeon Kim

Comments: 65 pages, 2 figures, minor corrections, version to appear in JHEP

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

[206] arXiv:1812.05789 (cross-list from math-ph) [pdf, other]

Title: Spaces of abelian differentials and Hitchin's spectral covers

Marco Bertola, Dmitry Korotkin

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Exactly Solvable and Integrable Systems (nlin.SI)

[207] arXiv:1812.05858 (cross-list from math-ph) [pdf, other]

Title: Quantum ${D_4}$ Drinfeld-Sokolov hierarchy and quantum singularity theory

Ann du Crest de Villeneuve, Paolo Rossi

Comments: 21 pages

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

[208] arXiv:1812.05962 (cross-list from math.RA) [pdf, other]

Title: Signatures of paths transformed by polynomial maps

Laura Colmenarejo, Rosa Preiß

Comments: 19 pages

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

[209] arXiv:1812.06180 (cross-list from math.NT) [pdf, other]

Title: Nonabelian Hodge theory and vector valued modular forms

Cameron Franc, Steven Rayan

Comments: 22 pages, 1 table

Journal-ref: AMS Contemp. Math. 753 (2020), 95--118

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

[210] arXiv:1812.06529 (cross-list from math.AC) [pdf, other]

Title: Generalized minimum distance functions and algebraic invariants of Geramita ideals

Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal

Journal-ref: Adv. in Appl. Math. 112 (2020), 101940

Subjects: Commutative Algebra (math.AC); Information Theory (cs.IT); Algebraic Geometry (math.AG); Combinatorics (math.CO)

[211] arXiv:1812.07936 (cross-list from math.NT) [pdf, other]

Title: Semistable abelian varieties and maximal torsion 1-crystalline submodules

Cody Gunton

Comments: Final version

Journal-ref: Journal de Th\'eorie des Nombres de Bordeaux, Tome 33 (2021) no. 1, pp. 39-81

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

[212] arXiv:1812.08160 (cross-list from math.RT) [pdf, other]

Title: Is there an analytic theory of automorphic functions for complex algebraic curves?

Edward Frenkel

Comments: 31 pages

Journal-ref: SIGMA 16 (2020), 042

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

[213] arXiv:1812.08331 (cross-list from math-ph) [pdf, other]

Title: An explicit formula of the normalized Mumford form

Takashi Ichikawa

Comments: 12 pages. arXiv admin note: text overlap with arXiv:1411.3058

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

[214] arXiv:1812.08590 (cross-list from math.CO) [pdf, other]

Title: Intersections between the norm-trace curve and some low degree curves

Matteo Bonini, Massimiliano Sala

Subjects: Combinatorics (math.CO); Information Theory (cs.IT); Algebraic Geometry (math.AG)

[215] arXiv:1812.08692 (cross-list from math.CO) [pdf, other]

Title: Matroids over one-dimensional groups

Guus P. Bollen, Dustin Cartwright, Jan Draisma

Comments: 29 pages, 4 diagrams, 2 pictures, improved exposition---many thanks to referees!

Journal-ref: Int. Math. Res. Not., 2022:3, 2298-2336

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

[216] arXiv:1812.08738 (cross-list from math-ph) [pdf, other]

Title: Higher Airy structures, W algebras and topological recursion

Gaëtan Borot, Vincent Bouchard, Nitin K. Chidambaram, Thomas Creutzig, Dmitry Noshchenko

Comments: 93 pages, v4: references added, many typos corrected

Journal-ref: Mem. Amer. Math. Soc. 296 (2024), no. 1476

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

[217] arXiv:1812.09503 (cross-list from math.CO) [pdf, other]

Title: Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture

Megumi Harada, Martha Precup

Comments: 23 pages. Removed incorrect claim from the abstract

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

[218] arXiv:1812.09550 (cross-list from math.RA) [pdf, other]

Title: Feigin and Odesskii's elliptic algebras

Alex Chirvasitu, Ryo Kanda, S. Paul Smith

Comments: 36 pages + references; a number of changes + updated cross-references to other papers in the same series

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

[219] arXiv:1812.09936 (cross-list from math.NT) [pdf, other]

Title: Moduli Spaces for Dynamical Systems with Portraits

John R. Doyle, Joseph H. Silverman

Comments: 91 pages

Journal-ref: Illinois J. Math. 64, no. 3 (2020), 375-465

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

[220] arXiv:1812.10454 (cross-list from math.CO) [pdf, other]

Title: Combinatorial Lefschetz theorems beyond positivity

Karim Adiprasito

Comments: 76 pages. Removes appendix

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

[221] arXiv:1812.10822 (cross-list from math.KT) [pdf, other]

Title: Tannaka duality for enhanced triangulated categories I: reconstruction

J.P.Pridham

Comments: 35 pp. This is the 1st half of arXiv:1309.0637v5, which has now been split. To appear in JNCG

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

[222] arXiv:1812.11322 (cross-list from math.NT) [pdf, other]

Title: On a $q$-deformation of modular forms

Victor J. W. Guo, Wadim Zudilin

Comments: 13 pages

Journal-ref: J. Math. Anal. Appl. 475:2 (2019), 1636--1646

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO); Quantum Algebra (math.QA)

[223] arXiv:1812.11376 (cross-list from math.NT) [pdf, other]

Title: On the Malle conjecture and the Grunwald problem

François Motte

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

[224] arXiv:1812.11649 (cross-list from math.QA) [pdf, other]

Title: Multiple zeta values in deformation quantization

Peter Banks, Erik Panzer, Brent Pym

Comments: 71 pages; software available at this http URL and this https URL

Journal-ref: Inventiones mathematicae 222 (2020), pp. 79-159

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

[225] arXiv:1812.11679 (cross-list from math.NT) [pdf, other]

Title: Reductions of abelian surfaces over global function fields

Davesh Maulik, Ananth N. Shankar, Yunqing Tang

Comments: The sections have been reorganized and some details have been added in order to improve the clarity of the exposition

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

[226] arXiv:1812.11726 (cross-list from math-ph) [pdf, other]

Title: Three-partition Hodge integrals and the topological vertex

Toshio Nakatsu, Kanehisa Takasaki

Comments: 44 pages, 2 figures

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)

[227] arXiv:1812.11746 (cross-list from math.NT) [pdf, other]

Title: Bielliptic modular curves $X_0^*(N)$ with square-free levels

Francesc Bars, Josep González

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

[228] arXiv:1812.11752 (cross-list from math.NT) [pdf, other]

Title: Cusps, Congruence Groups and Monstrous Dessins

Valdo Tatitscheff, Yang-Hui He, John McKay

Comments: 57 pages, 27 figures

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

[229] arXiv:1812.11860 (cross-list from math.DG) [pdf, other]

Title: An example of a stable but fibrewise nonstable bundle on the twistor space of a hyperk\"ahler manifold

Artour Tomberg

Comments: 6 pages; to appear in Math. Notes

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

[230] arXiv:1812.11952 (cross-list from math.KT) [pdf, other]

Title: On weight complexes, pure functors, and detecting weights

Mikhail V. Bondarko

Comments: Several minor corrections made. Appendices (closely related to weight complexes) were extended

Subjects: K-Theory and Homology (math.KT); Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Category Theory (math.CT)