Algebraic Geometry

Authors and titles for May 2018

[201] arXiv:1805.07169 (cross-list from math.CT) [pdf, other]

Title: A Pierce Representation Theorem for varieties with BFC

William Zuluaga

Comments: Comments and suggestions are welcomed

Subjects: Category Theory (math.CT); Algebraic Geometry (math.AG)

[202] arXiv:1805.07877 (cross-list from math.DG) [pdf, other]

Title: K\"ahler hyperbolic manifolds and Chern number inequalities

Ping Li

Comments: 16 pages, to appear in Transactions of the AMS

Journal-ref: Trans. Amer. Math. Soc. 372 (2019), 6853-6868

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

[203] arXiv:1805.07899 (cross-list from cs.IT) [pdf, other]

Title: Phase retrieval from the norms of affine transformations

Meng Huang, Zhiqiang Xu

Comments: 20 pages

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

[204] arXiv:1805.07924 (cross-list from math.SG) [pdf, other]

Title: Lagrangian cobordism and tropical curves

Nick Sheridan, Ivan Smith

Comments: 56 pages; 10 figures. Version 2: minor attributional clarifications and bibliographic changes. Version 3: 44 pages. Text streamlined and other minor changes. This is the final version, to appear in Crelle's journal

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

[205] arXiv:1805.08086 (cross-list from math.DG) [pdf, other]

Title: On F-Algebroids and Dubrovin's Duality

John Alexander Cruz Morales, Alexander Torres-Gomez

Comments: 13 pages; v2 has small changes, it has improved exposition. Revised version to appear in: "Archivum Mathematicum"

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

[206] arXiv:1805.08383 (cross-list from math.NT) [pdf, other]

Title: On the rationality of algebraic monodromy groups of compatible systems

Chun Yin Hui

Comments: Accepted in JEMS

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

[207] arXiv:1805.08421 (cross-list from cs.IT) [pdf, other]

Title: Joint Detection and Localization of an Unknown Number of Sources Using Algebraic Structure of the Noise Subspace

Matthew W. Morency, Sergiy A. Vorobyov, Geert Leus

Comments: 16 two-column pages, 12 figures, 1 table, Submitted for publication in IEEE Trans. Signal Processing

Journal-ref: IEEE Trans. Signal Processing, vol. 66, no. 17, pp. 4685-4700, Sept. 2018

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

[208] arXiv:1805.08739 (cross-list from math.AC) [pdf, other]

Title: A New Subadditivity Formula for Test Ideals

Daniel Smolkin

Comments: Many changes big and small. Most notably, the proofs of theorems 3.12 and 5.15 were corrected in response to referee feedback. I also cleaned up the notation in the proof of 5.15

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

[209] arXiv:1805.08851 (cross-list from math.NT) [pdf, other]

Title: Non-invariance of weak approximation properties under extension of the ground field

Yongqi Liang

Comments: Comments are welcome

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

[210] arXiv:1805.08895 (cross-list from math.AC) [pdf, other]

Title: Iterated local cohomology groups and Lyubeznik numbers for determinantal rings

András C. Lőrincz, Claudiu Raicu

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

[211] arXiv:1805.09295 (cross-list from math.DS) [pdf, other]

Title: A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems

Matthew D. Johnston, Stefan Müller, Casian Pantea

Comments: 23 pages, 0 figures

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

[212] arXiv:1805.09356 (cross-list from math.RA) [pdf, other]

Title: Low dimensional orders of finite representation type

Daniel Chan, Colin Ingalls

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

[213] arXiv:1805.09647 (cross-list from math.SG) [pdf, other]

Title: Some Questions in the Theory of Pseudoholomorphic Curves

Aleksey Zinger

Comments: 28 pages, 4 figures

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

[214] arXiv:1805.10067 (cross-list from math.AC) [pdf, other]

Title: An algorithm for computing the Arf closure of an algebroid curve with more than one branch

Nicola Maugeri, Giuseppe Zito

Comments: 36 pages

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

[215] arXiv:1805.10104 (cross-list from math.NT) [pdf, other]

Title: Transcendence and linear relations of $1$-periods

Annette Huber, Gisbert Wüstholz

Comments: This is the final draft and very close to the published version of the monograph, but not identical. In particular layout and page numbers do not agree. To appear: Cambridge Tracts in Mathematics 227, Cambridge University Press, May 2022. Copyright Annette Huber and Gisbert Wüstholz

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

[216] arXiv:1805.10136 (cross-list from cs.SC) [pdf, other]

Title: Towards Incremental Cylindrical Algebraic Decomposition in Maple

Alexander Imani Cowen-Rivers, Matthew England

Comments: FLoC 2018. arXiv admin note: substantial text overlap with arXiv:1804.08564

Journal-ref: In: A. Bigatti and M. Brain eds. Proceedings of the 3rd Workshop on Satisfiability Checking and Symbolic Computation (SC2 '18), pp. 3-18. CEUR Workshop Proceedings 2189, 2018

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

[217] arXiv:1805.10497 (cross-list from math.DG) [pdf, other]

Title: Model Higgs bundles in exceptional components of the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety

Georgios Kydonakis

Comments: 41 pages, 3 figures

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

[218] arXiv:1805.10751 (cross-list from math.RT) [pdf, other]

Title: Completing perfect complexes

Tobias Barthel, Bernhard Keller, Henning Krause

Comments: 35 pages, with appendices by Tobias Barthel, Henning Krause and Bernhard Keller. Version 3: Added a new appendix by Tobias Barthel and Henning Krause that refines for a separated noetherian scheme the results of the main text. Added a discussion of completions of abelian categories and their derived categories. Version 4: Minor revision, correcting some examples

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

[219] arXiv:1805.10806 (cross-list from math-ph) [pdf, other]

Title: Topological twists of supersymmetric algebras of observables

Chris Elliott, Pavel Safronov

Comments: 56 pages

Journal-ref: Comm. Math. Phys. 371 (2019), pp. 727-786

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

[220] arXiv:1805.10834 (cross-list from math.DG) [pdf, other]

Title: Smooth approximations in PL geometry

José F. Fernando, Riccardo Ghiloni

Comments: 29 pages

Journal-ref: American Journal of Mathematics, 2021

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

[221] arXiv:1805.10862 (cross-list from math.DG) [pdf, other]

Title: On the existence of non-trivial laminations in $\mathbb{CP}^2$

Divakaran Divakaran, Dheeraj Kulkarni

Comments: Caution: There is an error in the argument (thanks to E. Ghys for pointing it out). We believe that it can be fixed and article will be updated soon with a correct argument. We thank you for your patience

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

[222] arXiv:1805.10923 (cross-list from math.AC) [pdf, other]

Title: Regularity of the vanishing ideal over a bipartite nested ear decomposition

Jorge Neves

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

[223] arXiv:1805.11071 (cross-list from math.NT) [pdf, other]

Title: On the semi-simplicity conjecture for $\mathbb{Q}^{ab}$

Marco D'Addezio

Comments: 7 pages; §3 expanded

Journal-ref: Math. Res. Lett. 29 (2022), 1003-1009

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

[224] arXiv:1805.11114 (cross-list from hep-th) [pdf, other]

Title: Fermions on replica geometries and the $\Theta$-$\theta$ relation

Sunil Mukhi, Sameer Murthy

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

[225] arXiv:1805.11826 (cross-list from math.RT) [pdf, other]

Title: Line bundles over Coulomb branches

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

Comments: 26 pages; v2. an assumption on the stability parameter is relaxed, 27 pages

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

[226] arXiv:1805.11923 (cross-list from math.AC) [pdf, other]

Title: Square-free Groebner degenerations

Aldo Conca, Matteo Varbaro

Comments: Minor changes throughout. A compressed version of the paper will appear in Inventions Mathematicae

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

[227] arXiv:1805.11940 (cross-list from math.AC) [pdf, other]

Title: On minimal decompositions of low rank symmetric tensors

Bernard Mourrain, Alessandro Oneto

Comments: 26 pages; the Macaulay2 package "ApolarLowRank.m2" is available in the ancillary files

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

[228] arXiv:1805.11991 (cross-list from math.NT) [pdf, other]

Title: Hyperelliptic Curves over Small Finite Fields and GPU Accelerators

Martin Raum

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

[229] arXiv:1805.12047 (cross-list from math.NA) [pdf, other]

Title: Generalized eigenvalue methods for Gaussian quadrature rules

Grigoriy Blekherman, Mario Kummer, Cordian Riener, Markus Schweighofer, Cynthia Vinzant

Comments: 13 pages, 2 figures

Subjects: Numerical Analysis (math.NA); Algebraic Geometry (math.AG)

[230] arXiv:1805.12212 (cross-list from cs.SC) [pdf, other]

Title: Monodromy Solver: Sequential and Parallel

Nathan Bliss, Timothy Duff, Anton Leykin, Jeff Sommars

Comments: 19 pages, accepted to ISSAC 2018

Subjects: Symbolic Computation (cs.SC); Distributed, Parallel, and Cluster Computing (cs.DC); Algebraic Geometry (math.AG)

[231] arXiv:1805.12231 (cross-list from math.RT) [pdf, other]

Title: On the Ramanujan conjecture for automorphic forms over function fields I. Geometry

Will Sawin, Nicolas Templier

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

[232] arXiv:1805.12337 (cross-list from math.NT) [pdf, other]

Title: Drinfeld modular forms of arbitrary rank, Part II: Comparison with Algebraic Theory

Dirk Basson, Florian Breuer, Richard Pink

Comments: 29 pages

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

[233] arXiv:1805.12538 (cross-list from math.NT) [pdf, other]

Title: Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces

Francesca Balestrieri, Rachel Newton

Comments: 16 pages. Corrected grant reference number and added journal reference and DOI. arXiv admin note: substantial text overlap with arXiv:1804.05819

Journal-ref: International Mathematics Research Notices, Volume 2021, Issue 6, March 2021, Pages 4255-4279

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