Algebraic Geometry

Authors and titles for July 2018

[1] arXiv:1807.00017 [pdf, other]

Title: $\mu$-constant deformations of functions on ICIS

R. S. Carvalho, B. Orefice-Okamoto, J. N. Tomazella

Subjects: Algebraic Geometry (math.AG)

[2] arXiv:1807.00079 [pdf, other]

Title: Pushforwards of Measures on Real Varieties under Maps with Rational Singularities

Andrew Reiser

Comments: 39 pages, no figures. arXiv admin note: text overlap with arXiv:1307.0371 by other authors

Subjects: Algebraic Geometry (math.AG)

[3] arXiv:1807.00081 [pdf, other]

Title: On a rationality problem for fields of cross-ratios

Zinovy Reichstein

Comments: 7 pages

Subjects: Algebraic Geometry (math.AG); Group Theory (math.GR); Rings and Algebras (math.RA)

[4] arXiv:1807.00158 [pdf, other]

Title: A better comparison of cdh- and ldh-cohomologies

Shane Kelly

Comments: Main theorem hypothesis (G1) or (G2) changed to (G1) *and* (G2). Proof remains essentially the same

Journal-ref: Nagoya Mathematical Journal, 236, 183-213, 2019

Subjects: Algebraic Geometry (math.AG)

[5] arXiv:1807.00216 [pdf, other]

Title: Admissible subcategories in derived categories of moduli of vector bundles on curves

Pieter Belmans, Swarnava Mukhopadhyay

Comments: 17 pages

Journal-ref: Adv. Math. 351 (2019), 653-675

Subjects: Algebraic Geometry (math.AG)

[6] arXiv:1807.00333 [pdf, other]

Title: Rank one local systems on complements of hyperplanes and Aomoto complexes

Morihiko Saito

Comments: 22 page

Subjects: Algebraic Geometry (math.AG)

[7] arXiv:1807.00465 [pdf, other]

Title: On the explicit calculation of Hirzebruch-Milnor classes of hyperplane arrangements

Xia Liao, Youngho Yoon

Comments: 24 pages

Subjects: Algebraic Geometry (math.AG)

[8] arXiv:1807.00469 [pdf, other]

Title: q-Stability conditions on Calabi-Yau-X categories

Akishi Ikeda, Yu Qiu

Comments: Compos. Math. to appear

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

[9] arXiv:1807.00524 [pdf, other]

Title: Infinite families of inequivalent real circle actions on affine four-space

Lucy Moser-Jauslin (IMB)

Subjects: Algebraic Geometry (math.AG)

[10] arXiv:1807.00559 [pdf, other]

Title: Stringy $E$-functions of canonical toric Fano threefolds and their applications

Victor Batyrev, Karin Schaller

Comments: 19 pages

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

[11] arXiv:1807.00609 [pdf, other]

Title: The ring of local tropical fans and tropical nearby monodromy eigenvalues

Alexander Esterov

Comments: 33 pages, 9 figures

Subjects: Algebraic Geometry (math.AG)

[12] arXiv:1807.00642 [pdf, other]

Title: Hilbert functions and tensor analysis

Luca Chiantini

Subjects: Algebraic Geometry (math.AG)

[13] arXiv:1807.00843 [pdf, other]

Title: Effective divisor classes on metric graphs

Andreas Gross, Farbod Shokrieh, Lilla Tóthmérész

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

[14] arXiv:1807.00863 [pdf, other]

Title: The rigidity theorem of Fano--Segre--Iskovskikh--Manin--Pukhlikov--Corti--Cheltsov--de Fernex--Ein--Musta\cedilla{t}\u{a}--Zhuang

János Kollár

Subjects: Algebraic Geometry (math.AG)

[15] arXiv:1807.00901 [pdf, other]

Title: On the fixed locus of framed instanton sheaves on $\mathbb{P}^{3}$

Abdelmoubine Amar Henni

Comments: 27 pages; corrections in section 4 and non primitive case added for c=3

Journal-ref: Pacific J. Math. 308 (2020) 41-72

Subjects: Algebraic Geometry (math.AG)

[16] arXiv:1807.01009 [pdf, other]

Title: Representations of Affine Group Schemes Over General Rings

Giulia Battiston, Matthieu Romagny (IRMAR)

Comments: The article is withdrawn, due to an error in Thm 4.1 that has consequences in several of our results

Subjects: Algebraic Geometry (math.AG)

[17] arXiv:1807.01046 [pdf, other]

Title: Formal classication of two-dimensional neighborhoods of genus g $\ge$ 2 curves with trivial normal bundle

Olivier Thom

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

[18] arXiv:1807.01056 [pdf, other]

Title: Some singular curves and surfaces arising from invariants of complex reflection groups

Cédric Bonnafé (IMAG)

Comments: 20 pages, an octic with 48 real singularities of type D4 and a dodecic with 160 singularities of type D4 have been added

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

[19] arXiv:1807.01153 [pdf, other]

Title: On a resolution of singularities with two strata

Vincenzo Di Gennaro, Davide Franco

Comments: 19 pages, no figures

Subjects: Algebraic Geometry (math.AG)

[20] arXiv:1807.01534 [pdf, other]

Title: Lefschetz exceptional collections in $S_k$-equivariant categories of $(\mathbb{P}^n)^k$

Mikhail Mironov

Subjects: Algebraic Geometry (math.AG)

[21] arXiv:1807.01592 [pdf, other]

Title: Involution surface bundles over surfaces

Andrew Kresch, Yuri Tschinkel

Comments: 23 pages

Subjects: Algebraic Geometry (math.AG)

[22] arXiv:1807.01663 [pdf, other]

Title: On cubic torsors, biextensions and Severi-Brauer varieties over Abelian varieties

Nathan Grieve

Comments: Final Version. Several Improvements. Published by Sao Paulo J. Math. Sci

Subjects: Algebraic Geometry (math.AG)

[23] arXiv:1807.01683 [pdf, other]

Title: A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields

Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade

Comments: 27 pages, slightly revised version; to appear in Moscow Math. J

Subjects: Algebraic Geometry (math.AG)

[24] arXiv:1807.01802 [pdf, other]

Title: Semiorthogonal decompositions on total spaces of tautological bundles

Dmitrii Pirozhkov

Comments: 18 pages

Subjects: Algebraic Geometry (math.AG)

[25] arXiv:1807.01929 [pdf, other]

Title: Characteristic cycles and the microlocal geometry of the Gauss map, II

Thomas Krämer

Comments: 38 pages, comments welcome

Journal-ref: J. reine angew. Mathematik 774 (2021) 53-92

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

[26] arXiv:1807.01932 [pdf, other]

Title: Hodge ideals for Q-divisors: birational approach

Mircea Mustata, Mihnea Popa

Comments: Version 2: minor changes, including the title

Subjects: Algebraic Geometry (math.AG)

[27] arXiv:1807.01935 [pdf, other]

Title: Hodge ideals for Q-divisors, V-filtration, and minimal exponent

Mircea Mustata, Mihnea Popa

Comments: Final version (35 pages), to appear in Forum Math. Sigma

Subjects: Algebraic Geometry (math.AG)

[28] arXiv:1807.02073 [pdf, other]

Title: On the Bielliptic and bihyperelliptic loci

Paola Frediani, Paola Porru

Comments: Final version. To appear in the Michigan Mathematical Journal

Subjects: Algebraic Geometry (math.AG)

[29] arXiv:1807.02082 [pdf, other]

Title: Associated form morphism

Maksym Fedorchuk, Alexander Isaev

Comments: 18 pages

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

[30] arXiv:1807.02158 [pdf, other]

Title: Some results on affine Deligne-Lusztig varieties

Xuhua He

Comments: 2018 ICM report, reference updated

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

[31] arXiv:1807.02375 [pdf, other]

Title: D-modules in birational geometry

Mihnea Popa

Comments: 21 pages; in the Proceedings of the ICM, Rio de Janeiro, 2018; v2 contains a few corrections and additional results compared to the published version

Subjects: Algebraic Geometry (math.AG)

[32] arXiv:1807.02517 [pdf, other]

Title: Some remarks on Dupont contraction

Luigi Lunardon

Comments: 17 pages. Comments are welcome

Journal-ref: Rend. Mat. Appl. (7), Issue 39 (1), (2018), pp. 79-96

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

[33] arXiv:1807.02544 [pdf, other]

Title: Localization and Mirror Symmetry

Dustin Ross

Comments: 24 pages, comments welcome

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

[34] arXiv:1807.02646 [pdf, other]

Title: Vanishing cohomology on a double cover

Yongnam Lee, Gian Pietro Pirola

Comments: 11 pages, final version to appear in BLMS

Subjects: Algebraic Geometry (math.AG)

[35] arXiv:1807.02742 [pdf, other]

Title: On automorphisms of algebraic curves

A. Broughton, T. Shaska, A. Wootton

Journal-ref: Contemp. Math., 724, pg. 175--212, Amer. Math. Soc., Providence, RI, 2019

Subjects: Algebraic Geometry (math.AG)

[36] arXiv:1807.02797 [pdf, other]

Title: Threefold extremal curve germs with one non-Gorenstein point

Shigefumi Mori, Yuri Prokhorov

Comments: 54 pages, latex

Subjects: Algebraic Geometry (math.AG)

[37] arXiv:1807.02841 [pdf, other]

Title: The valuative tree is the projective limit of Eggers-Wall trees

Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu

Comments: 45 pages, 20 figures

Journal-ref: RACSAM (2019) 113, 4051-4105

Subjects: Algebraic Geometry (math.AG)

[38] arXiv:1807.02867 [pdf, other]

Title: Hodge numbers and Hodge structures for Calabi-Yau categories of dimension three

Roland Abuaf

Comments: Comments welcome

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

[39] arXiv:1807.02890 [pdf, other]

Title: Instability in invariant theory

George Kempf

Comments: 10 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)

[40] arXiv:1807.02991 [pdf, other]

Title: Multistationarity and Bistability for Fewnomial Chemical Reaction Networks

Elisenda Feliu, Martin Helmer

Journal-ref: Bulletin of Mathematical Biology, 2018

Subjects: Algebraic Geometry (math.AG); Symbolic Computation (cs.SC); Dynamical Systems (math.DS); Molecular Networks (q-bio.MN); Quantitative Methods (q-bio.QM)

[41] arXiv:1807.03190 [pdf, other]

Title: Higher de Rham epsilon factors

Michael Groechenig

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[42] arXiv:1807.03295 [pdf, other]

Title: Coordinate-wise Powers of Algebraic Varieties

Papri Dey, Paul Görlach, Nidhi Kaihnsa

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[43] arXiv:1807.03365 [pdf, other]

Title: Affine representability results in A^1-homotopy theory III: finite fields and complements

Aravind Asok, Marc Hoyois, Matthias Wendt

Comments: 9 pages; Comments welcome

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

[44] arXiv:1807.03408 [pdf, other]

Title: Necklaces count polynomial parametric osculants

Taylor Brysiewicz

Subjects: Algebraic Geometry (math.AG)

[45] arXiv:1807.03428 [pdf, other]

Title: Quasi-compact group schemes, Hopf sheaves, and their representations

Alvaro Rittatore, Pedro Luis del Angel, Walter Ferrer Santos

Comments: 102 pages. Major changes in final sections

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

[46] arXiv:1807.03510 [pdf, other]

Title: RC-positive metrics on rationally connected manifolds

Xiaokui Yang

Journal-ref: Forum of Mathematics, Sigma 8 (2020) e53

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

[47] arXiv:1807.03631 [pdf, other]

Title: A square root of Hurwitz numbers

Junho Lee

Comments: Some minor changes, following the referee's report. To appear in Manuscripta Math

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

[48] arXiv:1807.03665 [pdf, other]

Title: Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps

Ariyan Javanpeykar, Ljudmila Kamenova

Comments: 27 pages. Included new result (Theorem 1.14). No other significant changes

Journal-ref: Math. Zeit. 296 (2020) 1645-1672

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

[49] arXiv:1807.03782 [pdf, other]

Title: On Topological Approaches to the Jacobian Conjecture in $\mathbb{C}^n$

Francisco Braun, Luis Renato G. Dias, Jean Venato-Santos

Journal-ref: Proceedings of the Edinburgh Mathematical Society, 2020

Subjects: Algebraic Geometry (math.AG)

[50] arXiv:1807.03991 [pdf, other]

Title: The plane Jacobian conjecture for rational curves

Abdallah Assi (LAREMA)

Comments: The paper has been withdrawn due to an incomplete argument in the main result (page 4)

Subjects: Algebraic Geometry (math.AG)