Algebraic Geometry

Authors and titles for January 2022

[151] arXiv:2201.12215 [pdf, other]

Title: Hyperbolic localization of the Donaldson-Thomas sheaf

Pierre Descombes

Comments: 45 pages. In this new version, we have simplified the formalism of the proof, insisted more on orientations datas, and removed for clarity the section on stacks

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

[152] arXiv:2201.12588 [pdf, other]

Title: Orbits on K3 Surfaces of Markoff Type

Elena Fuchs, Matthew Litman, Joseph H. Silverman, Austin Tran

Comments: 55 pages

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

[153] arXiv:2201.12703 [pdf, html, other]

Title: Mirror Symmetry for log Calabi-Yau Surfaces II

Jonathan Lai, Yan Zhou

Comments: Lemma 6.11 added

Subjects: Algebraic Geometry (math.AG)

[154] arXiv:2201.12734 [pdf, other]

Title: Existence of Ulrich Bundle on general Surfaces

Suratno Basu, Sarbeswar Pal

Comments: Revised version. Lemma 4.1 and Proposition 4.3 has been rewritten

Subjects: Algebraic Geometry (math.AG)

[155] arXiv:2201.12750 [pdf, other]

Title: Periodic points and arithmetic degrees of certain rational self-maps

Long Wang

Comments: 25 pages. v4: Minor changes, final version

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

[156] arXiv:2201.12780 [pdf, other]

Title: Period -Index problem for hyperelliptic curves

J.N. Iyer, R.Parimala (with an appendix by S. Ramanan)

Comments: Some typos and a misprint in Definition 1.4, are corrected

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

[157] arXiv:2201.12820 [pdf, other]

Title: Variation of the Swan conductor of an $\mathbb{F}_{\ell}$-sheaf on a rigid annulus

Amadou Bah

Comments: 34 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[158] arXiv:2201.12951 [pdf, other]

Title: Quantum $K$-theory of $G/P$ and $K$-homology of affine Grassmannian

Chi Hong Chow, Naichung Conan Leung

Comments: Due to an unresolved dispute, this paper will not be published in any journal

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

[159] arXiv:2201.12996 [pdf, other]

Title: On the maximality of genus-3 nonhyperelliptic curves of Ciani type

Ryo Ohashi

Comments: arXiv admin note: text overlap with arXiv:2112.11152

Subjects: Algebraic Geometry (math.AG)

[160] arXiv:2201.13165 [pdf, other]

Title: On nearly free arrangements of lines with nodes and triple points

Jakub Kabat

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

[161] arXiv:2201.13251 [pdf, other]

Title: Stability conditions on fibred threefolds

Hao Max Sun

Comments: typos corrected

Subjects: Algebraic Geometry (math.AG)

[162] arXiv:2201.13381 [pdf, other]

Title: HMS symmetries and hypergeometric systems

Špela Špenko

Comments: 17 pages

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

[163] arXiv:2201.00416 (cross-list from math.CO) [pdf, other]

Title: A Generalized RSK for Enumerating Linear Series on $n$-pointed Curves

Maria Gillespie, Andrew Reimer-Berg

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

[164] arXiv:2201.00602 (cross-list from math.NT) [pdf, other]

Title: On the constant $D(q)$ defined by Homma

Peter Beelen, Maria Montanucci, Lara Vicino

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

[165] arXiv:2201.00837 (cross-list from hep-th) [pdf, other]

Title: Einstein Yang-Mills Amplitudes from Intersections of Twisted Forms

Pouria Mazloumi, Stephan Stieberger

Comments: 40 pages, LaTeX; v2: improved version, typos removed and subsection 6.3 added

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Algebraic Geometry (math.AG); Number Theory (math.NT)

[166] arXiv:2201.01028 (cross-list from math.CO) [pdf, other]

Title: The $4 \times 4$ minors of a $5 \times 5$ symmetric matrix are a tropical basis

Dylan Zwick

Comments: 34 pages, 2 figures. arXiv admin note: text overlap with arXiv:2112.14945

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

[167] arXiv:2201.01676 (cross-list from math.NT) [pdf, other]

Title: Iterated Integrals and Multiple Polylogarithm at Algebraic Arguments

Kam Cheong Au

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

[168] arXiv:2201.01930 (cross-list from cs.IT) [pdf, other]

Title: Codes from symmetric polynomials

Mrinmoy Datta, Trygve Johnsen

Subjects: Information Theory (cs.IT); Algebraic Geometry (math.AG)

[169] arXiv:2201.02361 (cross-list from math.AC) [pdf, other]

Title: On M-O.Ore determinants

Jean Fresnel (IMB), Michel Matignon (IMB)

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

[170] arXiv:2201.02462 (cross-list from nlin.SI) [pdf, other]

Title: Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions

E. Yu. Bunkova

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

[171] arXiv:2201.02688 (cross-list from math.SG) [pdf, other]

Title: An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants

Shaoyun Bai, Guangbo Xu

Comments: v2: 73 pages, new section on Abouzaid-McLean-Smith's theorem. Comments are welcome!

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

[172] arXiv:2201.02717 (cross-list from math.AC) [pdf, html, other]

Title: Frobenius-Poincar\'e function and Hilbert-Kunz multiplicity

Alapan Mukhopadhyay

Comments: v3: In Rmk 5.5, an error is fixed; a reference is added. Other minor changes

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

[173] arXiv:2201.02786 (cross-list from math.KT) [pdf, other]

Title: The very effective covers of KO and KGL over Dedekind schemes

Tom Bachmann

Comments: 5 pages; comments welcome! v2: minor improvements

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

[174] arXiv:2201.03087 (cross-list from math.QA) [pdf, other]

Title: Frobenius-like structure in Gaudin model

Evgeny Mukhin, Alexander Varchenko

Comments: Latex, 14 pages

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

[175] arXiv:2201.03109 (cross-list from math.DG) [pdf, other]

Title: Local Pl\"ucker formulas for orthogonal groups

Denis Degtyarev

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

[176] arXiv:2201.03516 (cross-list from math.CT) [pdf, other]

Title: Constructing spectra using cone injectivity

Jan Jurka, Tomáš Perutka, Lukáš Vokřínek

Comments: minor changes - mainly just improved readability

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

[177] arXiv:2201.03666 (cross-list from math.DG) [pdf, html, other]

Title: On Hermitian manifolds with vanishing curvature

Kyle Broder, Kai Tang

Comments: Significant revision over the previous manuscript, several new results are proved. Comments are welcome

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

[178] arXiv:2201.03838 (cross-list from math.CA) [pdf, other]

Title: On the equations of Poizat and Li\'enard

James Freitag, Rémi Jaoui, David Marker, Joel Nagloo

Comments: 49 pages

Subjects: Classical Analysis and ODEs (math.CA); Algebraic Geometry (math.AG); Logic (math.LO)

[179] arXiv:2201.03890 (cross-list from math.RT) [pdf, other]

Title: PBW degenerations, quiver Grassmannians, and toric varieties

Evgeny Feigin

Comments: 16 pages, ICM 2022 proceedings

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

[180] arXiv:2201.04094 (cross-list from math.NT) [pdf, html, other]

Title: Character formula for Weil representations in terms of Frobenius traces

Tim Dokchitser, Vladimir Dokchitser

Comments: 8 pages, final accepted version

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

[181] arXiv:2201.04102 (cross-list from math.DG) [pdf, other]

Title: Complex embeddings, Toeplitz operators and transitivity of optimal holomorphic extensions

Siarhei Finski

Comments: 52 pages

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

[182] arXiv:2201.04164 (cross-list from math.AC) [pdf, other]

Title: The Principal Component of the Jets of a Graph

Nicholas Iammarino

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

[183] arXiv:2201.04293 (cross-list from math.NT) [pdf, other]

Title: Isogeny graphs on superspecial abelian varieties: Eigenvalues and Connection to Bruhat-Tits buildings

Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi

Comments: 49 pages, 3 figures, the title was changed, and a significant revision was made

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

[184] arXiv:2201.04479 (cross-list from math.RA) [pdf, other]

Title: Golod-Shafarevich-Vinberg type theorems and finiteness conditions for potential algebras

Natalia Iyudu, Stanislav Shkarin

Comments: arXiv admin note: substantial text overlap with arXiv:1806.06829

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

[185] arXiv:2201.04606 (cross-list from math.RA) [pdf, other]

Title: On centralizers in Azumaya domains

Thomas Bitoun, Justin Desrochers

Comments: Added a description of the fraction field of the centralizer in positive characteristic. Accepted for publication in International Mathematics Research Notices

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

[186] arXiv:2201.04634 (cross-list from hep-th) [pdf, other]

Title: D(-1)-Instanton Superpotential In String Theory

Manki Kim

Comments: v5. 36 pages. Clarifications added. Results unchanged

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

[187] arXiv:2201.04717 (cross-list from math.DG) [pdf, other]

Title: Twistor Theory of Dancing Paths

Maciej Dunajski

Comments: Dedicated to Roger Penrose on the occasion of his 90th birthday

Journal-ref: SIGMA 18 (2022), 027, 13 pages

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

[188] arXiv:2201.04921 (cross-list from math.RA) [pdf, html, other]

Title: Azumaya Algebras With Orthogonal Involution Admitting an Improper Isometry

Uriya A. First

Comments: 5 pages. Comments are welcome. Changes from last version: Main result extended to Azumaya algebras with quadratic pairs. Some results on torsors added

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

[189] arXiv:2201.05003 (cross-list from math.NT) [pdf, other]

Title: $\infty$-Categorical Perverse $p$-adic Differential Equations over Stacks

Xin Tong

Comments: 47 pages

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

[190] arXiv:2201.05218 (cross-list from cs.CC) [pdf, other]

Title: The Ideal Membership Problem and Abelian Groups

Andrei A. Bulatov, Akbar Rafiey

Subjects: Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Logic in Computer Science (cs.LO); Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[191] arXiv:2201.06132 (cross-list from math.MG) [pdf, other]

Title: Lipschitz geometry of pairs of normally embedded H\"older triangles

Lev Birbrair, Andrei Gabrielov

Comments: 24 pages, 7 figures

Subjects: Metric Geometry (math.MG); Algebraic Geometry (math.AG)

[192] arXiv:2201.06522 (cross-list from math.CO) [pdf, other]

Title: Minimal equations for matrix Schubert varieties

Shiliang Gao, Alexander Yong

Comments: 7 pages. Final version to appear in J. Commut. Algebra

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

[193] arXiv:2201.07144 (cross-list from math.GT) [pdf, other]

Title: The Trace of the affine Hecke category

Eugene Gorsky, Andrei Neguţ

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

[194] arXiv:2201.08055 (cross-list from math.DG) [pdf, other]

Title: On the relative opers in dimension one

Anoop Singh, Abhitosh Upadhyay

Journal-ref: Form Mathematicum, 2022

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

[195] arXiv:2201.08231 (cross-list from math.CV) [pdf, other]

Title: Lower bounds for genera of fiber products

Fedor Pakovich

Comments: The final version, to appear in Israel J. Math

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Dynamical Systems (math.DS); Number Theory (math.NT)

[196] arXiv:2201.08386 (cross-list from math.RT) [pdf, other]

Title: A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras

Hiraku Nakajima

Comments: 24 pages, in Japanese; v2. typos are corrected

Subjects: Representation Theory (math.RT); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[197] arXiv:2201.08833 (cross-list from math.GT) [pdf, html, other]

Title: Consequences of the compatibility of skein algebra and cluster algebra on surfaces

Han-Bom Moon, Helen Wong

Comments: 32 pages, a main result (Theorem C) has been strengthened. Comments are welcome!

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

[198] arXiv:2201.08874 (cross-list from math.NT) [pdf, other]

Title: Note on $p$-adic Local Functional Equation

Luochen Zhao

Comments: 26 pages; revised version with §B.1 rewritten; accepted by p-Adic Numbers, Ultrametric Analysis and Applications

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

[199] arXiv:2201.09002 (cross-list from math.NT) [pdf, other]

Title: Isolated Points on $X_1(\ell^n)$ with rational $j$-invariant}

Ozlem Ejder

Comments: 6 pages, accepted to Research in Number Theory

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

[200] arXiv:2201.09304 (cross-list from math.NT) [pdf, html, other]

Title: On the Integral Part of A-Motivic Cohomology

Quentin Gazda

Comments: 61 pages. Final version. To appear in Compositio Mathematica

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