Algebraic Geometry

Authors and titles for May 2018

[151] arXiv:1805.11336 [pdf, other]

Title: Globally generated vector bundles with $c_1 = 5$ on $\mathbb{P}^3$

Cristian Anghel, Iustin Coanda, Nicolae Manolache

Subjects: Algebraic Geometry (math.AG)

[152] arXiv:1805.11406 [pdf, other]

Title: Algebraic models of the line in the real affine plane

Adrien Dubouloz (IMB), Frédéric Mangolte (LAREMA)

Subjects: Algebraic Geometry (math.AG)

[153] arXiv:1805.11558 [pdf, other]

Title: Bia{\l}ynicki-Birula decomposition for reductive groups

Joachim Jelisiejew, Łukasz Sienkiewicz

Comments: v3, final. To appear in Journal de Mathématiques Pures et Appliquées

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

[154] arXiv:1805.11574 [pdf, other]

Title: The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians

Eyal Markman

Comments: v4: 85 pages. Published version. To appear in the Journal of the European Mathematical Society (JEMS)

Journal-ref: J. Eur. Math. Soc. (JEMS) 25 (2023), no. 1, 231-321

Subjects: Algebraic Geometry (math.AG)

[155] arXiv:1805.11594 [pdf, other]

Title: Constructing smooth and fully faithful tropicalizations for Mumford curves

Philipp Jell

Comments: 20 pages, 7 figures;

Subjects: Algebraic Geometry (math.AG)

[156] arXiv:1805.11697 [pdf, other]

Title: An example of liftings with different Hodge numbers

Shizhang Li

Comments: v1: 6 pages, comments welcome; v2: 7 pages, final and published version

Journal-ref: Mathematical Research Letters, Vol. 27, No. 3 (2020), pp. 835-844

Subjects: Algebraic Geometry (math.AG)

[157] arXiv:1805.11702 [pdf, other]

Title: Tritangents and Their Space Sextics

Turku Ozlum Celik, Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin

Comments: 24 pages, 2 figures

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

[158] arXiv:1805.11708 [pdf, other]

Title: Period integrals associated to an affine Delsarte type hypersurface

Susumu Tanabe

Comments: to appear in Moscow Mathematical Journal. vol.22, No. 1, 2022

Subjects: Algebraic Geometry (math.AG)

[159] arXiv:1805.11727 [pdf, other]

Title: $A_\infty$-structures associated with pairs of 1-spherical objects and noncommutative orders over curves

Alexander Polishchuk

Comments: v1: 62 pages, v2: 67 pages

Subjects: Algebraic Geometry (math.AG)

[160] arXiv:1805.11920 [pdf, other]

Title: A logarithmic $\bar{\partial}$-equation on a compact K\"ahler manifold associated to a smooth divisor

Xueyuan Wan

Comments: 21 pages

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

[161] arXiv:1805.11964 [pdf, other]

Title: Tangential varieties of Segre-Veronese surfaces are never defective

Maria Virginia Catalisano, Alessandro Oneto

Comments: 23 pages

Journal-ref: Revista Matem\'atica Complutense, 2019

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

[162] arXiv:1805.12019 [pdf, other]

Title: Curve classes on irreducible holomorphic symplectic varieties

Giovanni Mongardi, John Christian Ottem

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG)

[163] arXiv:1805.12075 [pdf, other]

Title: Compact tori associated to hyperkaehler manifolds of Kummer type

Kieran G. O'Grady

Subjects: Algebraic Geometry (math.AG)

[164] arXiv:1805.12095 [pdf, other]

Title: A note on the Grothendieck group of an abelian variety

Shahram Biglari

Comments: 18 pages, no figure (corrected the abstract and added acknowledgment)

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

[165] arXiv:1805.12297 [pdf, other]

Title: Conormal Varieties on the Cominuscule Grassmannian - II

Rahul Singh

Comments: Version 1 included similar results in type D. However, there were serious errors in the proof. All claims to results in type D have been removed in this version. We are grateful to Anna Melnikov for pointing us to these errors

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

[166] arXiv:1805.12426 [pdf, other]

Title: Global Torelli theorem for irreducible symplectic orbifolds

Grégoire Menet

Comments: 23 pages, final version to appear in Journal de Mathématiques pures et appliquées

Subjects: Algebraic Geometry (math.AG)

[167] arXiv:1805.12566 [pdf, other]

Title: Splitting Brauer classes using the universal Albanese

Wei Ho, Max Lieblich

Comments: 11 pages, references and acknowledgments updated, comments welcome at any time

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

[168] arXiv:1805.00030 (cross-list from math.GT) [pdf, other]

Title: Cluster exchange groupoids and framed quadratic differentials

Alastair King, Yu Qiu

Comments: Final version, 37 pages, many figures, to appear in Invent. Math

Journal-ref: Invent. Math. 2020

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Dynamical Systems (math.DS); Representation Theory (math.RT)

[169] arXiv:1805.00102 (cross-list from math.SG) [pdf, other]

Title: Locality in the Fukaya category of a hyperk\"ahler manifold

Jake P. Solomon, Misha Verbitsky

Comments: 43 pages, 2 figures; incorporated referee suggestions and other minor modifications, differs stylistically from published version

Journal-ref: Compos. Math. 155 (2019), no. 10, 1924-1958

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

[170] arXiv:1805.00203 (cross-list from hep-th) [pdf, other]

Title: Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks

Edward Frenkel, Davide Gaiotto

Comments: 87 pages, minor edits

Journal-ref: Communications in Number Theory and Physics, vol. 14 (2020) 199-313

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

[171] arXiv:1805.00492 (cross-list from math.AC) [pdf, other]

Title: Non-Commutative Resolutions of Toric Varieties

Eleonore Faber, Greg Muller, Karen E. Smith

Comments: V2: edits, final version to appear in Advances

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

[172] arXiv:1805.00544 (cross-list from math.NT) [pdf, other]

Title: A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds

Wadim Zudilin

Journal-ref: SIGMA 14 (2018), 086, 16 pages

Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA); K-Theory and Homology (math.KT)

[173] arXiv:1805.00600 (cross-list from math.CO) [pdf, other]

Title: Parity duality for the amplituhedron

Pavel Galashin, Thomas Lam

Comments: 52 pages, 3 figures

Journal-ref: Compositio Math. 156 (2020) 2207-2262

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

[174] arXiv:1805.01440 (cross-list from math.AC) [pdf, other]

Title: Mixed Multiplicities of Filtrations

Steven Dale Cutkosky, Parangama Sarkar, Hema Srinivasan

Comments: 25 pages Some some corrections are made in this final version

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

[175] arXiv:1805.01873 (cross-list from hep-th) [pdf, other]

Title: Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections

Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen, Hans Schoenemann, Yang Zhang

Comments: minor corrections, updated references

Journal-ref: JHEP 1809 (2018) 024

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

[176] arXiv:1805.01880 (cross-list from math.RT) [pdf, other]

Title: Wall and Chamber Structure for finite-dimensional Algebras

Thomas Brüstle, David Smith, Hipolito Treffinger

Comments: We added Subsection 3.5 and corrected typos. This paper is a revised version of one part of a preprint arXiv:1705.08227

Journal-ref: Advances in Mathematics, Volume 354, 1 October 2019, 106746

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

[177] arXiv:1805.02112 (cross-list from math.NT) [pdf, other]

Title: On primitive elements of algebraic function fields and models of $X_0(N)$

Iva Kodrnja, Goran Muić

Comments: arXiv admin note: text overlap with arXiv:1305.2428

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

[178] arXiv:1805.02196 (cross-list from math.SG) [pdf, other]

Title: Geometry of symplectic log Calabi-Yau pairs

Tian-Jun Li, Cheuk Yu Mak

Comments: To appear in the ICCM Notices

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

[179] arXiv:1805.02287 (cross-list from math.CO) [pdf, other]

Title: Unique rectification in $d$-complete posets: towards the $K$-theory of Kac-Moody flag varieties

Rahul Ilango, Oliver Pechenik, Michael Zlatin

Comments: 34 pages, 5 figures

Journal-ref: Electronic Journal of Combinatorics 25(4), 2018, 1-35

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

[180] arXiv:1805.02551 (cross-list from math.CV) [pdf, other]

Title: Hamiltonian actions of unipotent groups on compact K\"ahler manifolds

Daniel Greb, Christian Miebach

Comments: v2: 30 pages, final version as accepted by EPIGA

Journal-ref: Épijournal de Géométrie Algébrique, Volume 2 (November 9, 2018) epiga:4486

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

[181] arXiv:1805.02661 (cross-list from hep-th) [pdf, other]

Title: Local B-model Yukawa couplings from A-twisted correlators

Yoshinori Honma, Masahide Manabe

Comments: 29 pages, 7 figures. v2: minor changes. v3: minor changes, published version

Journal-ref: PTEP 2018 (2018) no.7, 073A03

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

[182] arXiv:1805.02978 (cross-list from math.NT) [pdf, other]

Title: Bielliptic smooth plane curves and quadratic points

Eslam Badr, Francesc Bars

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

[183] arXiv:1805.03214 (cross-list from hep-th) [pdf, other]

Title: The Geometry of the SU(2)$\times$ G$_2$-model

Mboyo Esole, Monica Jinwoo Kang

Comments: 43 pages + references, 14 tables, 11 figures

Journal-ref: JHEP {\bf 1902}, 091 (2019)

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

[184] arXiv:1805.03267 (cross-list from math.CO) [pdf, other]

Title: QGLBT for polytopes

Karim Adiprasito, Mikhail Burens, Eran Nevo

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

[185] arXiv:1805.03289 (cross-list from math.DG) [pdf, other]

Title: Variational and non-Archimedean aspects of the Yau--Tian--Donaldson conjecture

Sébastien Boucksom

Comments: 22 pages. To appear in the ICM 2018 proceedings

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

[186] arXiv:1805.03361 (cross-list from math.NT) [pdf, other]

Title: Chabauty-Coleman experiments for genus 3 hyperelliptic curves

Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán, Mirela Çiperiani, Anastassia Etropolski

Comments: 18 pages

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

[187] arXiv:1805.03920 (cross-list from math.NT) [pdf, other]

Title: Approximation diophantienne et distribution locale sur une surface torique II

Zhizhong Huang

Comments: Revised and shortened this http URL French. Some material will appear in subsequent work. To appear in Bulletin de la Société mathématique de France. Comments still welcome!

Journal-ref: Bulletin de la Soci\'et\'e math\'ematique de France 148 (2), 2020, 189-235

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

[188] arXiv:1805.04146 (cross-list from math.AT) [pdf, other]

Title: A model for complex analytic equivariant elliptic cohomology from quantum field theory

Daniel Berwick-Evans, Arnav Tripathy

Comments: Significant updates informed by the de Rham model in 1908.02868

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

[189] arXiv:1805.04240 (cross-list from hep-th) [pdf, other]

Title: Random super matrices with an external source

E. Brezin, S.Hikami

Comments: 12 pages

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

[190] arXiv:1805.04944 (cross-list from math.DG) [pdf, other]

Title: Conic singularities metrics with prescribed scalar curvature: a priori estimates for normal crossing divisors

Long Li, Jian Wang, Kai Zheng

Journal-ref: Bull. Soc. Math. France 148 (2020), no. 1, 51-97

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

[191] arXiv:1805.05318 (cross-list from math.RT) [pdf, other]

Title: Tilting Cohen-Macaulay representations

Osamu Iyama

Comments: To appear in the ICM 2018 proceedings

Subjects: Representation Theory (math.RT); Commutative Algebra (math.AC); Algebraic Geometry (math.AG); Rings and Algebras (math.RA)

[192] arXiv:1805.05599 (cross-list from math.AC) [pdf, other]

Title: Resolution of the symmetric algebra of a finite base locus

Rémi Bignalet-Cazalet (IMB)

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

[193] arXiv:1805.05907 (cross-list from hep-th) [pdf, other]

Title: Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers

Yu-Chien Huang, Washington Taylor

Comments: 92 pages, 7 figures; v6: cleaned up errors in references

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

[194] arXiv:1805.06004 (cross-list from math.CO) [pdf, other]

Title: Moment curves and cyclic symmetry for positive Grassmannians

Steven N. Karp

Comments: 18 pages. v2: Minor changes

Journal-ref: Bull. Lond. Math. Soc. 51 (2019), no. 5, 900-916

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

[195] arXiv:1805.06269 (cross-list from math.NT) [pdf, other]

Title: A new proof of a vanishing result due to Berthelot, Esnault, and R\"ulling

Veronika Ertl

Comments: 9 pages

Journal-ref: Journal of Number Theory, 2019

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

[196] arXiv:1805.06467 (cross-list from hep-th) [pdf, other]

Title: Top Down Approach to 6D SCFTs

Jonathan J. Heckman, Tom Rudelius

Comments: v4: 122 pages, 4 figures, further typos corrected

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

[197] arXiv:1805.06514 (cross-list from math.RT) [pdf, other]

Title: Affine Matsuki correspondence for sheaves

Tsao-Hsien Chen, David Nadler

Comments: Add a new section (Section 9) on compatibility with Hecke actions

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

[198] arXiv:1805.06684 (cross-list from math.QA) [pdf, other]

Title: The Grothendieck-Teichmueller Lie algebra and Brown's dihedral moduli spaces

Johan Alm

Comments: Version 3 repairs a gap caused by a serious error in one of the referenced papers, as well as some other, minor points relating to permutation actions. A clarification of some of the constructions in terms of logarithmic geometry has also been added

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG)

[199] arXiv:1805.06789 (cross-list from math.GT) [pdf, other]

Title: Arithmeticity of the monodromy of some Kodaira fibrations

Nick Salter, Bena Tshishiku

Comments: 44 pages, 9 figures

Journal-ref: Compositio Math. 156 (2020) 114-157

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

[200] arXiv:1805.07091 (cross-list from cs.LG) [pdf, other]

Title: Tropical Geometry of Deep Neural Networks

Liwen Zhang, Gregory Naitzat, Lek-Heng Lim

Comments: 18 pages, 6 figures

Journal-ref: Proceedings of the 35th International Conference on Machine Learning, Stockholm, Sweden, PMLR 80, 2018

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