Algebraic Geometry

Authors and titles for math.AG in Apr 2023

[1]  arXiv:2304.00144 [pdf, other]

Title: Non-Archimedean Green's functions and Zariski decompositions

Authors: Sebastien Boucksom, Mattias Jonsson

Comments: 39 pages

Subjects: Algebraic Geometry (math.AG)

[2]  arXiv:2304.00196 [pdf, ps, other]

Title: Deformations of objects in $n$-categories

Authors: Fei Yu Chen

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

[3]  arXiv:2304.00533 [pdf, ps, other]

Title: The variety of polar simplices II

Authors: Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer

Comments: version 2, final, to appear in Experimental Math

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

[4]  arXiv:2304.00672 [pdf, ps, other]

Title: Variation of mixed Hodge structure and its applications

Authors: Osamu Fujino, Taro Fujisawa

Comments: 34 pages, v2: major revision

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

[5]  arXiv:2304.00712 [pdf, ps, other]

Title: Taylor Polynomials of Rational Functions

Authors: Aldo Conca, Simone Naldi, Giorgio Ottaviani, Bernd Sturmfels

Comments: 20 pages

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

[6]  arXiv:2304.00832 [pdf, other]

Title: Coherent-Constructible Correspondence for Toric Fibrations

Authors: Yuxuan Hu, Pyongwon Suh

Comments: 34 pages, 8 figures

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

[7]  arXiv:2304.00938 [pdf, other]

Title: Nonabelian basechange theorems & étale homotopy theory

Authors: Peter J. Haine, Tim Holzschuh, Sebastian Wolf

Comments: Comments very welcome. v2. Clarified a number of points throughout. Corrected an error in the proof of invariance under specialization. v1. 36 pages

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

[8]  arXiv:2304.00978 [pdf, other]

Title: Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

Authors: Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà

Comments: 27 pages, comments welcome

Subjects: Algebraic Geometry (math.AG)

[9]  arXiv:2304.01047 [pdf, ps, other]

Title: Dicritical foliations and semiroots of plane branches

Authors: Nuria Corral, Marcelo E. Hernandes, Maria Elenice R. Hernandes

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[10]  arXiv:2304.01135 [pdf, ps, other]

Title: Regular logarithmic connections

Authors: Piotr Achinger

Comments: 36 pages, comments welcome!

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

[11]  arXiv:2304.01269 [pdf, ps, other]

Title: A Phantom on a Rational Surface

Authors: Johannes Krah

Comments: 6 pages, added application to presilting objects in introduction

Subjects: Algebraic Geometry (math.AG)

[12]  arXiv:2304.01321 [pdf, ps, other]

Title: New perspectives on categorical Torelli theorems for del Pezzo threefolds

Authors: Soheyla Feyzbakhsh, Zhiyu Liu, Shizhuo Zhang

Comments: 35 pages, added results on index one prime Fano threefolds and the application to Kuznetsov's Fano threefold conjecture. Comments are very welcome!

Subjects: Algebraic Geometry (math.AG)

[13]  arXiv:2304.01337 [pdf, ps, other]

Title: Geometric representations of group actions

Authors: Avraham Aizenbud, Uri Bader

Subjects: Algebraic Geometry (math.AG)

[14]  arXiv:2304.01383 [pdf, ps, other]

Title: Elliptic fibrations and involutions on K3 surfaces

Authors: Alice Garbagnati, Cecília Salgado

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[15]  arXiv:2304.01410 [pdf, ps, other]

Title: Mapping Class Groups of Simply Connected Kähler Manifolds

Authors: Richard Hain

Comments: 28 pages: v4 --- minor edits, final version. To appear in "Current developments in Hodge theory, Proceedings of Hodge theory at IMSA", Simons Symposia series

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

[16]  arXiv:2304.01530 [pdf, ps, other]

Title: Expected Multivolumes of Random Amoebas

Authors: Turgay Bayraktar, Ali Ulaş Özgür Kişisel

Comments: Minor revisions to appear in Journal of Complexity

Journal-ref: Journal of Complexity 2024 (80) paper no 101802

Subjects: Algebraic Geometry (math.AG); Probability (math.PR)

[17]  arXiv:2304.01773 [pdf, ps, other]

Title: Asymptotic base loci on hyper-Kähler manifolds

Authors: Francesco Antonio Denisi, Ángel David Ríos Ortiz

Comments: 26 pages, v2. Fixed some typos. Updated bibliography. Improved the exposition of some parts

Subjects: Algebraic Geometry (math.AG)

[18]  arXiv:2304.01825 [pdf, other]

Title: Braid and Phantom

Authors: Jenia Tevelev

Comments: Due to a mistake in Lemma 3.4 in the previous version, two types of tensor vector bundles (with or without the twist by the sign representation) were treated as essentially equivalent. This error has been corrected throughout, and a new Theorem 6.14 has been added, which describes the mutation between these two types of tensor vector bundles. 45 pages

Subjects: Algebraic Geometry (math.AG)

[19]  arXiv:2304.01851 [pdf, ps, other]

Title: Extensions of curves with high degree with respect to the genus

Authors: Ciro Ciliberto, Thomas Dedieu

Comments: v2: various complements with respect to v1; v3: correction in the statement of Hartshorne's Theorem 2.5

Subjects: Algebraic Geometry (math.AG)

[20]  arXiv:2304.01856 [pdf, other]

Title: Non-calibrated framed processes, derived equivalence and Homological Mirror Symmetry

Authors: Michele Rossi

Comments: 1 figure, 3 appendices; 71 pages. Comments are welcome. v3: An inaccuracy in proving Thm. 1.3 and Thm. 4.7 has been fixed. Some further minor changes resulting. References updated

Subjects: Algebraic Geometry (math.AG)

[21]  arXiv:2304.02043 [pdf, other]

Title: Lorentzian polynomials, Segre classes, and adjoint polynomials of convex polyhedral cones

Authors: Paolo Aluffi

Comments: 29 pages, 2 figures. Minor changes and reference updates

Subjects: Algebraic Geometry (math.AG)

[22]  arXiv:2304.02128 [pdf, ps, other]

Title: Weierstrass Semigroup, Pure Gaps and Codes on Function Fields

Authors: Alonso S. Castellanos, Erik A. R. Mendoza, Luciane Quoos

Comments: 24 pages

Subjects: Algebraic Geometry (math.AG)

[23]  arXiv:2304.02287 [pdf, ps, other]

Title: Quotients of Nash Manifolds by Equivalence Relations

Authors: Avraham Aizenbud, Shachar Carmeli, Dmitry Gourevitch, Lev Radzivilovski

Comments: 18 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[24]  arXiv:2304.02288 [pdf, ps, other]

Title: $T$-equivariant motives of flag varieties

Authors: Can Yaylali

Comments: Accepted version, to appear in Algebr. Geom. Topol.; 26 pages

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

[25]  arXiv:2304.02293 [pdf, ps, other]

Title: The affine cones over Fano-Mukai fourfold of genus $7$ are flexible

Authors: Nguyen Thi Anh Hang, Hoang Le Truong

Comments: 9 pages, comments are welcome!

Subjects: Algebraic Geometry (math.AG)