Algebraic Geometry

Authors and titles for May 2018

[101] arXiv:1805.07285 [pdf, other]

Title: On the boundary components of central streams in the two slopes case

Nobuhiro Higuchi

Subjects: Algebraic Geometry (math.AG)

[102] arXiv:1805.07326 [pdf, other]

Title: Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking

Fuensanta Aroca Bisquert, Angelito Camacho Calderón, Mirna Gómez Morales

Comments: 20 pages, 4 figures

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

[103] arXiv:1805.07330 [pdf, other]

Title: Higher Codimensional Alpha Invariants and Characterization of Projective Spaces

Ziwen Zhu

Comments: 14 pages. Second version: deleted Proposition 3.7 due to a gap in the proof and modified corresponding statements throughout the article. To appear in Internat. J. Math

Subjects: Algebraic Geometry (math.AG)

[104] arXiv:1805.07345 [pdf, other]

Title: Curves containing all points of a finite projective Galois plane

Gregory Duran Cunha

Subjects: Algebraic Geometry (math.AG)

[105] arXiv:1805.07358 [pdf, other]

Title: Generators of invariant linear system on tropical curves for finite isometry group

JuAe Song

Comments: 14pages

Subjects: Algebraic Geometry (math.AG)

[106] arXiv:1805.07721 [pdf, html, other]

Title: Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric Satake equivalence (with appendix by Dennis Gaitsgory)

Michael Finkelberg, Vasily Krylov, Ivan Mirković

Comments: v2: two sections (4.v, this http URL) added; one author added, and even the title updated. v3: 44 pages; the final published version. v4: A few references added and a few inaccuracies corrected. v5: A few typos corrected; assumptions of Lemma A.1 corrected

Journal-ref: Journal of Topology 13 (2020), no. 2, 683-729

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

[107] arXiv:1805.07975 [pdf, other]

Title: Rational curves on elliptic K3 surfaces

Salim Tayou

Comments: Lemma 2.4 (2) fixed. To appear in Mathematical Research Letters

Subjects: Algebraic Geometry (math.AG)

[108] arXiv:1805.08001 [pdf, other]

Title: Horizontal Ga-actions on affine T-varieties of complexity one

Kevin Langlois

Comments: 14 pages. To appear in Le Matematiche

Subjects: Algebraic Geometry (math.AG)

[109] arXiv:1805.08049 [pdf, other]

Title: Greenberg algebras and ramified Witt vectors

Alessandra Bertapelle, Maurizio Candilera

Comments: We improved some results. 19 pages

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

[110] arXiv:1805.08175 [pdf, other]

Title: On Huh's conjectures for the polar degree

Dirk Siersma, Joseph Steenbrink, Mihai Tibar

Comments: 12p, version before publication in J Algebraic Geometry

Journal-ref: Journal of Algebraic Geometry 30 (2021), 189-203

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

[111] arXiv:1805.08181 [pdf, other]

Title: Orbits in $(\mathbb{P}^r)^n$ and equivariant quantum cohomology

Mitchell Lee, Anand Patel, Hunter Spink, Dennis Tseng

Comments: 65 pages, exposition heavily revised, to appear in Advances in Mathematics

Subjects: Algebraic Geometry (math.AG)

[112] arXiv:1805.08362 [pdf, other]

Title: A note on a smooth projective surface with Picard number 2

Sichen Li

Comments: 8 pages,Mathematische Nachrichten

Subjects: Algebraic Geometry (math.AG)

[113] arXiv:1805.08372 [pdf, other]

Title: Motivic Volumes of Fibers of Tropicalization

Jeremy Usatine

Comments: 29 pages

Subjects: Algebraic Geometry (math.AG)

[114] arXiv:1805.08538 [pdf, other]

Title: A differential graded model for derived analytic geometry

J. P. Pridham

Comments: 24pp

Subjects: Algebraic Geometry (math.AG)

[115] arXiv:1805.08548 [pdf, other]

Title: Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems

Jarosław Buczyński, Giovanni Moreno

Comments: 22 pages. Based on a talk given by the first aouthor at the workshop "Geometry of Lagrangian Grassmannians and nonlinear PDEs" held in Warsaw, September 5-9, 2016. Changes in v2: revised section 10

Journal-ref: Banach Center Publications 117 (2019), 145-176

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

[116] arXiv:1805.08581 [pdf, other]

Title: VGIT presentation of the second flip of $\overline{M}_{2,1}$

Maksym Fedorchuk, Matthew Grimes

Comments: v3: 26 pages, final version to appear in Michigan Math Journal, minor changes compared to previous versions; v2: 24 pages, subsection 3.1 on prior works is added, minor corrections throughout

Subjects: Algebraic Geometry (math.AG)

[117] arXiv:1805.08745 [pdf, other]

Title: Categorified algebra and equivariant homotopy theory

John D. Berman

Comments: This is the author's PhD thesis. 124 pages; comments welcome

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

[118] arXiv:1805.08770 [pdf, other]

Title: Geometry of Kottwitz-Viehmann Varieties

Jingren Chi

Comments: This article is an expanded and completely rewritten version of arxiv.org/abs/1710.11243. Results have been strengthened and several technical assumptions are removed

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

[119] arXiv:1805.08959 [pdf, other]

Title: A1 contractibility of affine modifications

Adrien Dubouloz, Sabrina Pauli, Paul Arne Østvær

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

[120] arXiv:1805.08997 [pdf, other]

Title: Lower bounds and asymptotics of real double Hurwitz numbers

Johannes Rau

Comments: 26 pages, 5 figures

Journal-ref: Math. Ann. 375.1-2 (2019), pp. 895-915

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

[121] arXiv:1805.09050 [pdf, other]

Title: Chern classes from Morava K-theories to $p^n$-typical oriented theories

Pavel Sechin

Comments: 44 pages, minor changes

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

[122] arXiv:1805.09059 [pdf, other]

Title: Applications of the Morava $K$-theory to algebraic groups

Pavel Sechin, Nikita Semenov

Comments: 41 pages

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

[123] arXiv:1805.09118 [pdf, other]

Title: On the classification problem for the genera of quotients of the Hermitian curve

Francesca Dalla Volta, Maria Montanucci, Giovanni Zini

Subjects: Algebraic Geometry (math.AG)

[124] arXiv:1805.09283 [pdf, other]

Title: Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration

Alexander I. Efimov

Comments: 21 pages, no figures; v2: minor corrections, geometric examples added, introduction slightly expanded, references added

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

[125] arXiv:1805.09525 [pdf, other]

Title: On the fundamental groups of commutative algebraic groups

Michel Brion

Comments: Final version, accepted for publication at Annales Henri Lebesgue

Subjects: Algebraic Geometry (math.AG)

[126] arXiv:1805.09531 [pdf, other]

Title: Homogeneous vector bundles over abelian varieties via representation theory

Michel Brion

Comments: Final version incorporating minor changes. To appear at Representation Theory

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

[127] arXiv:1805.09541 [pdf, other]

Title: Weak Algebra Bundles and Associator Varieties

Clarisson Rizzie Canlubo

Subjects: Algebraic Geometry (math.AG)

[128] arXiv:1805.09627 [pdf, other]

Title: Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry

Jan Stienstra

Journal-ref: SIGMA 14 (2018), 110, 29 pages

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

[129] arXiv:1805.09709 [pdf, other]

Title: Explicit resolution of weak wild quotient singularities on arithmetic surfaces

Andrew Obus, Stefan Wewers

Comments: Final version, to appear in the Journal of Algebraic Geometry. 31 pages

Journal-ref: J. Algebraic Geom. 29 (2020), no. 4, 691--728

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

[130] arXiv:1805.09797 [pdf, other]

Title: Supports for linear degenerations of flag varieties

Xin Fang, Markus Reineke

Comments: 17 pages

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

[131] arXiv:1805.10081 [pdf, other]

Title: Homotopy Type of Moduli Spaces of G-Higgs Bundles and Reducibility of the Nilpotent Cone

C. Florentino, P. B. Gothen, A. Nozad

Comments: 14 pages

Journal-ref: Bulletin des Sciences Math\'ematiques, 150 (2019), 84-101

Subjects: Algebraic Geometry (math.AG)

[132] arXiv:1805.10186 [pdf, other]

Title: Tropical curves, graph complexes, and top weight cohomology of M_g

Melody Chan, Soren Galatius, Sam Payne

Comments: 31 pages. v2: streamlined exposition. Final version, to appear in J. Amer. Math. Soc

Journal-ref: J. Amer. Math. Soc. 34 (2021), 565-594

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

[133] arXiv:1805.10218 [pdf, other]

Title: Production of faces of the Kronecker cone containing only stable triples

Maxime Pelletier (ICJ)

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

[134] arXiv:1805.10223 [pdf, other]

Title: Computing square-free polarized abelian varieties over finite fields

Stefano Marseglia

Comments: accepted by Math. Comp. major revision: added computation of the group of points; examples have been exported on the repo

Journal-ref: Mathematics of Computation 90 (2021), no. 328, 953-971

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

[135] arXiv:1805.10242 [pdf, other]

Title: Nikulin involutions and the CHL string

Adrian Clingher, Andreas Malmendier

Comments: 38 pages, 10 figures

Journal-ref: Commun. Math. Phys. 370 (2019), no. 3, 959-994

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

[136] arXiv:1805.10411 [pdf, other]

Title: Construction of negatively curved complete intersections

Jean-Paul Mohsen

Comments: v2: detailed proof of Theorem 9 (avoidance theorem)

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

[137] arXiv:1805.10481 [pdf, other]

Title: On the nonsymplectic involutions of the Hilbert square of a K3 surface

Samuel Boissiere, Andrea Cattaneo, Dimitri Markushevich, Alessandra Sarti

Subjects: Algebraic Geometry (math.AG)

[138] arXiv:1805.10580 [pdf, other]

Title: Geometric consistency of Manin's Conjecture

Brian Lehmann, Akash Kumar Sengupta, Sho Tanimoto

Comments: 56 pages, minor revision, to appear in Compositio Mathematica

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

[139] arXiv:1805.10609 [pdf, other]

Title: Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation

Marie-Françoise Roy (Univ Rennes 1, CNRS, IRMAR-UMR), Aviva Szpirglas (Univ Poitiers, CNRS, LMA-UMR)

Journal-ref: Journal of Symbolic Computation (2019)

Subjects: Algebraic Geometry (math.AG)

[140] arXiv:1805.10626 [pdf, other]

Title: Unexpected hypersurfaces and where to find them

B. Harbourne, J. Migliore, U. Nagel, Z. Teitler

Comments: 32 pages, 4 figures. Improvements in exposition and minor corrections

Subjects: Algebraic Geometry (math.AG)

[141] arXiv:1805.10660 [pdf, other]

Title: Invariance of Hironaka's characteristic polyhedron

Vincent Cossart, Uwe Jannsen, Bernd Schober

Comments: 29 pages, 5 figures

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

[142] arXiv:1805.10741 [pdf, other]

Title: Bounding cohomology on a smooth projective surface

Sichen Li

Comments: 11 pages

Subjects: Algebraic Geometry (math.AG)

[143] arXiv:1805.10771 [pdf, other]

Title: Jacobi inversion formulae for a curve in Weierstrass normal form

Jiyro Komeda, Shigeki Matsutani

Comments: 17pages

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

[144] arXiv:1805.10805 [pdf, other]

Title: Clifford index for reduced curves

Marco Franciosi

Comments: Prop. 3.7, prop. 4.2, Thm. 4.4 changed

Subjects: Algebraic Geometry (math.AG)

[145] arXiv:1805.10925 [pdf, other]

Title: On Mori chamber and stable base locus decompositions

Antonio Laface, Alex Massarenti, Rick Rischter

Comments: 26 pages. Added the classification of smooth toric 3-folds of Picard rank three for which the Mori chamber and the stable base locus decomposition differ. To appear in Transactions of the American Mathematical Society

Subjects: Algebraic Geometry (math.AG)

[146] arXiv:1805.10952 [pdf, other]

Title: Getzler relation and Virasoro conjecture for genus one

Yijie Lin

Journal-ref: Letters in Mathematical Physics (2019)

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

[147] arXiv:1805.11116 [pdf, other]

Title: The Chern-Schwartz-MacPherson class of an embeddable scheme

Paolo Aluffi

Comments: v2: References added, included a section on the relation with the Segre zeta function

Journal-ref: Forum of Mathematics, Sigma (2019), Vol. 7, e30, 28 pages

Subjects: Algebraic Geometry (math.AG)

[148] arXiv:1805.11160 [pdf, other]

Title: A non-Archimedean approach to K-stability

Sébastien Boucksom, Mattias Jonsson

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

[149] arXiv:1805.11184 [pdf, other]

Title: Moduli spaces of Hecke modifications for rational and elliptic curves

David Boozer

Comments: 29 pages, 1 figure; extensively revised; new methods are used to describe Hecke modifications in order to obtain more concise proofs

Journal-ref: Algebr. Geom. Topol. 21 (2021) 543-600

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

[150] arXiv:1805.11244 [pdf, other]

Title: On a sufficient condition for a Fano manifold to be covered by rational $N$-folds

Takahiro Nagaoka

Comments: 12pages

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