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: Major revision, as reflected in the new title and new abstract

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)