Algebraic Geometry

Authors and titles for July 2018

[151] arXiv:1807.10784 [pdf, other]

Title: Theta and eta polynomials in geometry, Lie theory, and combinatorics

Harry Tamvakis

Comments: 35 pages, 6 figures, final version. Published in "First Congress of Greek Mathematicians", Proceedings of the Congress held in Athens, Greece, June 25-30, 2018

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

[152] arXiv:1807.10791 [pdf, other]

Title: Conservativity of realizations implies that numerical motives are Kimura-finite and motivic zeta functions are rational

Mikhail V. Bondarko

Comments: A collection of minor corrections made

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

[153] arXiv:1807.10810 [pdf, other]

Title: Weil Conjectures I (translation of La Conjecture de Weil I by Pierre Deligne)

Evgeny Goncharov

Comments: 31 pages, 1 figure, translation of the original article of Pierre Deligne La Conjecture de Weil I, 1974 written in French

Subjects: Algebraic Geometry (math.AG)

[154] arXiv:1807.10812 [pdf, other]

Title: Weil Conjectures Exposition

Evgeny Goncharov

Comments: 49 pages

Subjects: Algebraic Geometry (math.AG)

[155] arXiv:1807.10890 [pdf, other]

Title: Picard-Vessiot groups of Lauricella's hypergeometric systems $E_C$ and Calabi-Yau varieties arising integral representations

Yoshiaki Goto, Kenji Koike

Comments: 18 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)

[156] arXiv:1807.10901 [pdf, other]

Title: Spectrahedral representations of plane hyperbolic curves

Mario Kummer, Simone Naldi, Daniel Plaumann

Comments: 18 pages, 8 figures

Journal-ref: Pacific J. Math. 303 (2019) 243-263

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

[157] arXiv:1807.10919 [pdf, other]

Title: Ulrich bundles on Brauer--Severi varieties

Saša Novaković

Comments: 14 pages, to appear in Proceedings of the American Mathematical Society, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[158] arXiv:1807.11044 [pdf, other]

Title: Higher Ramanujan equations and periods of abelian varieties

Tiago J. Fonseca

Comments: 121 pages. Minor corrections with respect to previous version; included a list of frequently used notation. Accepted for publication in Memoirs of the AMS. arXiv admin note: text overlap with arXiv:1703.02954, arXiv:1612.05081

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

[159] arXiv:1807.11140 [pdf, other]

Title: Algorithms And Programming On The Minimal Combinations Of Weights Of Projective Hypersurfaces

Dun Liang

Subjects: Algebraic Geometry (math.AG)

[160] arXiv:1807.11148 [pdf, other]

Title: Isomonodromic deformations of logarithmic connections and stable parabolic vector bundles

Indranil Biswas, Viktoria Heu, Jacques Hurtubise

Comments: Final version

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

[161] arXiv:1807.11258 [pdf, other]

Title: Algebraic spectral curves over $\mathbb Q$ and their tau-functions

Boris Dubrovin

Comments: 42 pages

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

[162] arXiv:1807.11295 [pdf, other]

Title: Serre-Tate theory for Calabi-Yau varieties

Piotr Achinger, Maciej Zdanowicz

Comments: 41 pages, new version, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[163] arXiv:1807.11309 [pdf, other]

Title: Kobayashi hyperbolicity in degree > n^{2n}

Joël Merker (LM-Orsay)

Comments: 4 pages

Subjects: Algebraic Geometry (math.AG)

[164] arXiv:1807.11364 [pdf, other]

Title: The logarithmic Picard group and its tropicalization

Samouil Molcho, Jonathan Wise

Comments: 8 figures, 86 pages; this version corrects a mistake in the proof of Theorem 4.4.1; comments welcome!

Subjects: Algebraic Geometry (math.AG)

[165] arXiv:1807.11426 [pdf, other]

Title: On the codimension of Noether-Lefshetz loci for toric threefolds

Valeriano Lanza, Ivan Martino

Comments: 4 pages

Subjects: Algebraic Geometry (math.AG)

[166] arXiv:1807.11437 [pdf, other]

Title: Harer-Zagier formula via Fock space

Danilo Lewanski

Comments: 5 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[167] arXiv:1807.11438 [pdf, other]

Title: Cox rings and symplectic quotient singularities with torus action

Maksymilian Grab

Subjects: Algebraic Geometry (math.AG)

[168] arXiv:1807.11443 [pdf, other]

Title: Enumeration of plane unicuspidal curves of any genus via tropical geometry

Yaniv Ganor, Eugenii Shustin

Comments: 77 pages (including appendix), 9 figures; replaces preprint at arXiv:1306.3514; the main body of the paper substantially edited to match the published version

Subjects: Algebraic Geometry (math.AG)

[169] arXiv:1807.11663 [pdf, other]

Title: Galois points for double-Frobenius nonclassical curves

Herivelto Borges, Satoru Fukasawa

Comments: 8 pages

Journal-ref: Finite Fields Appl. 61 (2020), 101579

Subjects: Algebraic Geometry (math.AG)

[170] arXiv:1807.11680 [pdf, other]

Title: Differentiability of the arithmetic volume function along the base conditions

Hideaki Ikoma

Comments: 49 pages

Subjects: Algebraic Geometry (math.AG)

[171] arXiv:1807.11747 [pdf, other]

Title: Examples of singular toric varieties with certain numerical conditions

Hiroshi Sato, Yusuke Suyama

Comments: 7 pages, v2: minor revisions, to appear in Osaka Journal of Mathematics

Subjects: Algebraic Geometry (math.AG)

[172] arXiv:1807.11854 [pdf, other]

Title: New surfaces with canonical map of high degree

Christian Gleissner, Roberto Pignatelli, Carlos Rito

Comments: Ancillary file with Magma code included. Final version, to appear in Commun. Anal. Geom

Subjects: Algebraic Geometry (math.AG)

[173] arXiv:1807.11911 [pdf, other]

Title: Vanishing for Hodge ideals on toric varieties

Yajnaseni Dutta

Comments: 9pages

Subjects: Algebraic Geometry (math.AG)

[174] arXiv:1807.00010 (cross-list from math.RT) [pdf, other]

Title: Global dimension function on stability conditions and Gepner equations

Yu Qiu

Comments: Final version, Math. Zeit. to appear

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

[175] arXiv:1807.00025 (cross-list from math.NT) [pdf, other]

Title: Models of curves over DVRs

Tim Dokchitser

Comments: 39 pages, minor changes

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

[176] arXiv:1807.00118 (cross-list from math.GR) [pdf, html, other]

Title: Conformal blocks for Galois covers of algebraic curves

Jiuzu Hong, Shrawan Kumar

Comments: This new version of the paper fixes an error in the statement of Lemma 8.3 in the published version of the paper

Journal-ref: Compositio Mathematica, volume 159 (2023), pages 2191-2259

Subjects: Group Theory (math.GR); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[177] arXiv:1807.00466 (cross-list from math.NT) [pdf, other]

Title: Quaternionic loci in Siegel's modular threefold

Yi-Hsuan Lin, Yifan Yang

Comments: 40 pages, plus 70+ pages of tables

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

[178] arXiv:1807.01086 (cross-list from math.NT) [pdf, other]

Title: A Proper Mapping Theorem for coadmissible D-cap-modules

Andreas Bode

Comments: 49 pages

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

[179] arXiv:1807.01231 (cross-list from math.AC) [pdf, other]

Title: An elementary and constructive proof of Grothendieck's generic freeness lemma

Ingo Blechschmidt

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

[180] arXiv:1807.01419 (cross-list from math.GT) [pdf, other]

Title: Milnor fibration, A'Campo's divide and Turaev's shadow

Masaharu Ishikawa, Hironobu Naoe

Comments: 17 pages, 13 figures. Some terminology is changed

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

[181] arXiv:1807.01536 (cross-list from math.QA) [pdf, other]

Title: Quantum Langlands duality of representations of W-algebras

Tomoyuki Arakawa, Edward Frenkel

Comments: 30 pages, to appear in Compositio Mathematica

Journal-ref: Compositio Math. 155 (2019) 2235-2262

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

[182] arXiv:1807.02179 (cross-list from math.RT) [pdf, other]

Title: Interpolating factorizations for acyclic Donaldson--Thomas invariants

Justin Allman

Comments: several expositional edits; 21 pages

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

[183] arXiv:1807.02601 (cross-list from math.DG) [pdf, other]

Title: RC-positivity, vanishing theorems and rigidity of holomorphic maps

Xiaokui Yang

Journal-ref: J. Inst. Math. Jussieu 20 (2021) 1023-1038

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

[184] arXiv:1807.02605 (cross-list from math.NT) [pdf, other]

Title: Numerical computation of endomorphism rings

Nils Bruin, Jeroen Sijsling, Alexandre Zotine

Comments: 16 pages; ancillary computer scripts; accepted for ANTS 2018

Journal-ref: Open Book Series 2 (2019) 155-171

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

[185] arXiv:1807.02721 (cross-list from math.NT) [pdf, other]

Title: Diophantine problems and $p$-adic period mappings

Brian Lawrence, Akshay Venkatesh

Comments: Revised version after referee report. Significant changes to introduction; several other minor changes and corrections

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

[186] arXiv:1807.02904 (cross-list from math.CO) [pdf, other]

Title: Generic torus orbit closures in Schubert varieties

Eunjeong Lee, Mikiya Masuda

Journal-ref: Journal of Combinatorial Theory, Series A Volume 170, February 2020

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

[187] arXiv:1807.03038 (cross-list from cs.CR) [pdf, other]

Title: Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves

Dan Boneh, Darren Glass, Daniel Krashen, Kristin Lauter, Shahed Sharif, Alice Silverberg, Mehdi Tibouchi, Mark Zhandry

Subjects: Cryptography and Security (cs.CR); Algebraic Geometry (math.AG); Number Theory (math.NT)

[188] arXiv:1807.03189 (cross-list from math.AC) [pdf, other]

Title: Multiplicity of the saturated special fiber ring of height two perfect ideals

Yairon Cid-Ruiz

Comments: to appear in Proc. Amer. Math. Soc

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

[189] arXiv:1807.03281 (cross-list from math.AT) [pdf, other]

Title: Exodromy

Clark Barwick, Saul Glasman, Peter Haine

Comments: Comments very welcome. v7: 253 pages. Extensively edited and reorganized the whole document and expanded on a number of points. Added Chapter 13 which uses pyknotic/condensed mathematics to extend the Exodromy Theorem to a classification result for $\ell$-adic sheaves

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

[190] arXiv:1807.03294 (cross-list from math.CO) [pdf, other]

Title: Crystal structures for symmetric Grothendieck polynomials

Cara Monical, Oliver Pechenik, Travis Scrimshaw

Comments: 47 pages, 7 figures; v2 weakening K-crystal structure for the general case, fixing typos

Journal-ref: Transform. Groups 26(3):1025-1075, 2021

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

[191] arXiv:1807.03349 (cross-list from math.NT) [pdf, other]

Title: The Hilbert Property for integral points of affine smooth cubic surfaces

Simone Coccia

Comments: 18 pages

Journal-ref: Journal of Number Theory 200 (2019) 353-379

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

[192] arXiv:1807.03377 (cross-list from math-ph) [pdf, other]

Title: Approximating tau-functions by theta-functions

Boris Dubrovin

Comments: 14 pages, 2 figures

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

[193] arXiv:1807.03677 (cross-list from math.GT) [pdf, other]

Title: On the Dehn functions of K\"ahler groups

Claudio Llosa Isenrich, Romain Tessera

Comments: 15 pages, V2: Minor corrections and improvements to the exposition. Final accepted version, to appear in Groups, Geometry, and Dynamics

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

[194] arXiv:1807.03761 (cross-list from math.NT) [pdf, other]

Title: The second moment of the number of integral points on elliptic curves is bounded

Levent Alpöge, Wei Ho

Comments: Generalized to $S$-integral points (from integral points) and to elliptic curves defined over any number field (from $\mathbb{Q}$). Added arguments (Section 5) to treat new equality cases. 23 pages. Comments welcome!

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

[195] arXiv:1807.03766 (cross-list from hep-th) [pdf, other]

Title: Nilpotence varieties

Richard Eager, Ingmar Saberi, Johannes Walcher

Comments: 66 pages, two figures, two tables

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

[196] arXiv:1807.03928 (cross-list from math.AC) [pdf, other]

Title: The Uniform Symbolic Topology Property for Diagonally $F$-regular Algebras

Javier Carvajal-Rojas, Daniel Smolkin

Comments: 22 pages. Comments welcome

Journal-ref: J. Algebra 548 (2020), 25--52

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

[197] arXiv:1807.04242 (cross-list from math.FA) [pdf, other]

Title: Multiparameter perturbation theory of matrices and linear operators

Adam Parusinski, Guillaume Rond

Comments: 15 pages - to appear in Trans. Amr. Math. Soc

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

[198] arXiv:1807.04963 (cross-list from math.AT) [pdf, other]

Title: Generic torus orbit closures in flag Bott manifolds

Eunjeong Lee, Dong Youp Suh

Journal-ref: Proceedings of the Steklov Institute of Mathematics, May 2019, Volume 305, Issue 1, pp 149-160

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

[199] arXiv:1807.05157 (cross-list from math.DS) [pdf, other]

Title: Lower bounds for positive roots and regions of multistationarity in chemical reaction networks

Frédéric Bihan, Alicia Dickenstein, Magalí Giaroli

Comments: 30 pages, 11 figures

Subjects: Dynamical Systems (math.DS); Algebraic Geometry (math.AG); Molecular Networks (q-bio.MN)

[200] arXiv:1807.05473 (cross-list from cs.IT) [pdf, other]

Title: Codes with hierarchical locality from covering maps of curves

Sean Ballentine, Alexander Barg, Serge Vladuts

Comments: V2: We added a construction of codes with two-level hierarchical locality and availability in each of the levels. \\ V3: The section on locality and availability has been rewritten; a new section was added with two general families of codes with two-level locality and availability in each of the levels, Sec. VIII.E

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