Algebraic Geometry

Authors and titles for math.AG in Dec 2023

[1]  arXiv:2312.00106 [pdf, ps, other]

Title: $\mathbb{A}^1$-Brouwer degrees in Macaulay2

Authors: Nikita Borisov, Thomas Brazelton, Frenly Espino, Thomas Hagedorn, Zhaobo Han, Jordy Lopez Garcia, Joel Louwsma, Wern Juin Gabriel Ong, Andrew R. Tawfeek

Comments: 13 pages, 1 figure. Comments welcome!

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

[2]  arXiv:2312.00144 [pdf, ps, other]

Title: Cubic surface bundles and the Brauer group

Authors: Alena Pirutka

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[3]  arXiv:2312.00415 [pdf, ps, other]

Title: Parabolic subgroups in characteristics two and three

Authors: Matilde Maccan (UR)

Subjects: Algebraic Geometry (math.AG)

[4]  arXiv:2312.00539 [pdf, ps, other]

Title: A note on the primitive cohomology lattice of a projective surface

Authors: Chris Peters

Comments: Accepted for publication in Pure and Applied Mathematics Quarterly

Subjects: Algebraic Geometry (math.AG)

[5]  arXiv:2312.00542 [pdf, ps, other]

Title: Completion of two-parameter period maps by nilpotent orbits

Authors: Haohua Deng, Colleen Robles

Subjects: Algebraic Geometry (math.AG)

[6]  arXiv:2312.00682 [pdf, ps, other]

Title: Quasi-F-split and Hodge-Witt

Authors: Fuetaro Yobuko

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[7]  arXiv:2312.00762 [pdf, ps, other]

Title: Global properties of Higgs bundle moduli spaces

Authors: Steven Bradlow

Comments: To appear in a volume in honor of Peter Newstead on the occasion of his 80th birthday

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

[8]  arXiv:2312.00887 [pdf, ps, other]

Title: Some consequences of the $μ$-constant condition for families of surfaces

Authors: Marta Aldasoro Rosales

Subjects: Algebraic Geometry (math.AG)

[9]  arXiv:2312.00913 [pdf, ps, other]

Title: Equivariant Tutte Polynomial

Authors: Mario Bauer, Matěj Doležálek, Magdaléna Mišinová, Semen Słobodianiuk, Julian Weigert

Comments: 31 pages, 2 tables

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

[10]  arXiv:2312.01012 [pdf, other]

Title: The volume of a divisor and cusp excursions of geodesics in hyperbolic manifolds

Authors: Simion Filip, John Lesieutre, Valentino Tosatti

Comments: 52 pages

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

[11]  arXiv:2312.01030 [pdf, ps, other]

Title: On the Analytic Langlands Corrrespondence for $\operatorname{PGL}_2$ in Genus 0 with Wild Ramification

Authors: Daniil Klyuev, Atticus Wang

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Functional Analysis (math.FA); Representation Theory (math.RT)

[12]  arXiv:2312.01192 [pdf, ps, other]

Title: Jacobian schemes arising from hypersurface arrangements in $\mathbb P^n$

Authors: Juan Migliore, Uwe Nagel

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

[13]  arXiv:2312.01245 [pdf, ps, other]

Title: The Holomorphic Extension Property for $k$-du Bois Singularities

Authors: Benjamin Tighe

Comments: 23 pages. Rewritten for clarity and exposition

Subjects: Algebraic Geometry (math.AG)

[14]  arXiv:2312.01347 [pdf, ps, other]

Title: Hilbert scheme of linearly normal curves in $\mathbb{P}^r$ with index of speciality five and beyond

Authors: Changho Keem

Comments: 60 pages, added two figures illustrating main results and corrected typos

Subjects: Algebraic Geometry (math.AG)

[15]  arXiv:2312.01413 [pdf, ps, other]

Title: Integrality of genus zero Gopakumar-Vafa type invariants of semi-positive varieties

Authors: You-Cheng Chou

Comments: corrected the computation on Proposition 3.4

Subjects: Algebraic Geometry (math.AG)

[16]  arXiv:2312.01492 [pdf, ps, other]

Title: The Multilinear Rank and Core of Trifocal Grassmann Tensors

Authors: Marina Bertolini, Gian Mario Besana, Gilberto Bini, Cristina Turrini

Subjects: Algebraic Geometry (math.AG)

[17]  arXiv:2312.01563 [pdf, ps, other]

Title: On Monomial Deformations of Generalized Delsarte Polynomials

Authors: Alan Adolphson, Steven Sperber

Comments: 31 pages

Subjects: Algebraic Geometry (math.AG)

[18]  arXiv:2312.01722 [pdf, ps, other]

Title: Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity

Authors: Nils Bruin, Nathan Ilten, Zhe Xu

Comments: 26 pages, 7 figures

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

[19]  arXiv:2312.01765 [pdf, ps, other]

Title: Infinitesimal rational actions

Authors: Bianca Gouthier

Comments: In a previous version of this work, the inverse implication of Proposition 1.2 was conjectured to hold true. In this updated version, we prove that this is not the case by giving a counterexample (Example 6.6). We also correct some minor typos

Subjects: Algebraic Geometry (math.AG)

[20]  arXiv:2312.01773 [pdf, ps, other]

Title: On complete intersections of three quadrics in $\mathbb{P}^7$

Authors: Francesco Russo, Giovanni Staglianò

Comments: 38 pages, 4 tables

Subjects: Algebraic Geometry (math.AG)

[21]  arXiv:2312.01825 [pdf, ps, other]

Title: Galois descent for motivic theories

Authors: Bruno Kahn

Comments: Small changes, in particular a better proof of Lemma 2.11

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

[22]  arXiv:2312.01834 [pdf, ps, other]

Title: Chiral Cartan calculus

Authors: Fyodor Malikov, Vadim Schechtman, Boris Tsygan

Comments: 34 pages

Subjects: Algebraic Geometry (math.AG)

[23]  arXiv:2312.01838 [pdf, other]

Title: Birational induction of nilpotent orbit covers in exceptional types

Authors: Matthew Westaway

Comments: 49 pages, 5 tables

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

[24]  arXiv:2312.01868 [pdf, other]

Title: Poncelet's closure theorem and the embedded topology of conic-line arrangements

Authors: Shinzo Bannai, Ryosuke Masuya, Taketo Shirane, Hiro-o Tokunaga, Emiko Yorisaki

Comments: 12 pages. Revised the Introduction and Section 3. Results unchanged

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

[25]  arXiv:2312.01933 [pdf, other]

Title: Tensoring by a plane maintains secant-regularity in degree at least two

Authors: Edoardo Ballico, Alessandra Bernardi, Tomasz Mańdziuk

Subjects: Algebraic Geometry (math.AG)

[26]  arXiv:2312.02085 [pdf, ps, other]

Title: Somos-4 and a quartic Surface in $\mathbb{RP}^{3}$

Authors: Helmut Ruhland

Comments: 8 pages, appendix added

Subjects: Algebraic Geometry (math.AG)

[27]  arXiv:2312.02574 [pdf, ps, other]

Title: Intersection multiplicity one for the Belkale-Kumar product in G/B

Authors: Nicolas Ressayre (ICJ, AGL, UCBL), Luca Francone (ICJ, UCBL, AGL)

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

[28]  arXiv:2312.02630 [pdf, ps, other]

Title: On affine Weyl group elements of positive Coxeter type

Authors: Felix Schremmer, Ryosuke Shimada, Qingchao Yu

Comments: 41 pages

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

[29]  arXiv:2312.02686 [pdf, other]

Title: A smooth compactification of spaces of stability conditions: the case of the $A_{n}$-quiver

Authors: Anna Barbieri, Martin Möller, Jeonghoon So

Comments: 42 pages. Any comments welcome!

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

[30]  arXiv:2312.02815 [pdf, other]

Title: Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds

Authors: Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani

Subjects: Algebraic Geometry (math.AG)

[31]  arXiv:2312.02840 [pdf, ps, other]

Title: A note on generation and descent for derived categories of noncommutative schemes

Authors: Anirban Bhaduri, Souvik Dey, Pat Lank

Comments: Current version: Minor typos. Previous: Improved results and exposition

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

[32]  arXiv:2312.02842 [pdf, other]

Title: GIT stability of divisors in products of projective spaces

Authors: Ioannis Karagiorgis, Theresa A. Ortscheidt, Theodoros S. Papazachariou

Comments: v2: Added references and corrected figures. Comments very welcome!

Subjects: Algebraic Geometry (math.AG)

[33]  arXiv:2312.02885 [pdf, ps, other]

Title: Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks

Authors: Lev Borisov, Alexander Duncan

Comments: 8 pages

Subjects: Algebraic Geometry (math.AG)

[34]  arXiv:2312.03144 [pdf, ps, other]

Title: Existence and orthogonality of stable envelopes for bow varieties

Authors: Catharina Stroppel, Till Wehrhan

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

[35]  arXiv:2312.03190 [pdf, ps, other]

Title: Surface quotient singularities and bigness of the cotangent bundle: Part II

Authors: Yohannes D. Asega, Bruno De Oliveira, Michael Weiss

Comments: 40 pages

Subjects: Algebraic Geometry (math.AG)

[36]  arXiv:2312.03283 [pdf, ps, other]

Title: On the Cohomology of Two Stranded Braid Varieties

Authors: Tonie Scroggin

Comments: 27 pages, 10 figures

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

[37]  arXiv:2312.03313 [pdf, ps, other]

Title: Boundedness and moduli of traditional stable minimal models

Authors: Xiaowei Jiang

Comments: 27 pages, 1 figure, comments are welcome! v2: exposition improved throughout the paper. arXiv admin note: text overlap with arXiv:2211.11237 by other authors

Subjects: Algebraic Geometry (math.AG)

[38]  arXiv:2312.03377 [pdf, ps, other]

Title: On $B$-root subgroups on horospherical varieties

Authors: Roman Avdeev, Vladimir Zhgoon

Comments: v1: 13 pages, preliminary version

Subjects: Algebraic Geometry (math.AG)

[39]  arXiv:2312.03470 [pdf, ps, other]

Title: Regular polygons, line operators, and elliptic modular surfaces as realization spaces of matroids

Authors: Lukas Kühne, Xavier Roulleau

Comments: 15 pages, 4 figures. Comments welcome

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

[40]  arXiv:2312.03500 [pdf, ps, other]

Title: Scattering diagrams and Jeffrey-Kirwan residues

Authors: Sara Angela Filippini, Jacopo Stoppa

Comments: Fixed a reference

Subjects: Algebraic Geometry (math.AG)

[41]  arXiv:2312.03501 [pdf, other]

Title: Functorial splitting of $l$-adic cohomology in exact sequences of group varieties

Authors: Victor de Vries

Comments: Some minor `stylistic' changes made from the initial version. I forgot to thank the referee in the second version

Subjects: Algebraic Geometry (math.AG)

[42]  arXiv:2312.03638 [pdf, other]

Title: Compact moduli of Enriques surfaces with a numerical polarization of degree 2

Authors: Valery Alexeev, Philip Engel, D. Zack Garza, Luca Schaffler

Comments: v2: Title change, literature update, local improvements. 43 pages, 19 figures

Subjects: Algebraic Geometry (math.AG)

[43]  arXiv:2312.03981 [pdf, other]

Title: Fundamental groups of log Calabi-Yau surfaces

Authors: Cécile Gachet, Zhining Liu, Joaquín Moraga

Comments: 50 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)

[44]  arXiv:2312.04015 [pdf, ps, other]

Title: Generalized Nonvanishing Conjecture and Iitaka Conjecture

Authors: Chi-Kang Chang

Comments: Revise due to fixing typos in the abstract, 17 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[45]  arXiv:2312.04239 [pdf, ps, other]

Title: A perturbative construction of primitive forms from log Landau-Ginzburg mirrors of toric manifolds

Authors: Kwokwai Chan, Ziming Nikolas Ma, Hao Wen

Comments: 39 pages; v2: minor changes. Comments welcome!

Subjects: Algebraic Geometry (math.AG)

[46]  arXiv:2312.04430 [pdf, ps, other]

Title: A Summary of Known Bounds on the Essential Dimension and Resolvent Degree of Finite Groups

Authors: Alexander J. Sutherland

Comments: 6 pages. All information up to date as of December 7th, 2023

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

[47]  arXiv:2312.04499 [pdf, other]

Title: The dual complex of a $G$-variety

Authors: Louis Esser

Comments: 8 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[48]  arXiv:2312.04520 [pdf, other]

Title: Conjectural criteria for the most singular points of the Hilbert schemes of points

Authors: Fatemeh Rezaee

Comments: 16 pages, 11 figures, comments very welcome!

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Combinatorics (math.CO); Optimization and Control (math.OC)

[49]  arXiv:2312.04644 [pdf, ps, other]

Title: Geproci sets on skew lines in $\mathbb P^3$ with two transversals

Authors: Luca Chiantini, Pietro De Poi, Lucja Farnik, Giuseppe Favacchio, Brian Harbourne, Giovanna Ilardi, Juan Migliore, Tomasz Szemberg, Justyna Szpond

Comments: 12 pages, 1 figura

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

[50]  arXiv:2312.04664 [pdf, ps, other]

Title: Intersection cohomology of higher rank Teichmüller components

Authors: Mathieu Ballandras, Oscar García-Prada

Comments: 19 pages

Subjects: Algebraic Geometry (math.AG)