Algebraic Geometry

Authors and titles for January 2022

[51] arXiv:2201.04861 [pdf, other]

Title: $p$-group Galois covers of curves in characteristic $p$

Jędrzej Garnek

Comments: Prepublication version, including most of the reviewers comments and corrections

Subjects: Algebraic Geometry (math.AG)

[52] arXiv:2201.04879 [pdf, other]

Title: Torus Actions on Quotients of Affine Spaces

Ana-Maria Brecan, Hans Franzen

Comments: 19 pages, comments are welcome; v2: Eliminated an assumption in the main result, expanded applications section; v3: Final version

Journal-ref: Épijournal de Géométrie Algébrique, Volume 7 (August 22, 2023) epiga:10073

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

[53] arXiv:2201.04890 [pdf, html, other]

Title: On the group of automorphisms of Horikawa surfaces

V. Lorenzo

Comments: Some changes following referee's report. Final version to appear in Comptes Rendus Mathématique. 12 pages

Subjects: Algebraic Geometry (math.AG)

[54] arXiv:2201.05074 [pdf, other]

Title: Geometric description of $\langle 2 \rangle$-polarised Hilbert squares of generic K3 surfaces

Simone Novario

Comments: 22 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[55] arXiv:2201.05100 [pdf, other]

Title: Representation stability for the Kontsevich space of stable maps

Philip Tosteson

Comments: 21 pages, one figure. Corrected error in Prop 3.16

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

[56] arXiv:2201.05424 [pdf, other]

Title: The enumerative geometry of cubic hypersurfaces: point and line conditions

Mara Belotti, Alessandro Danelon, Claudia Fevola, Andreas Kretschmer

Comments: 33 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[57] arXiv:2201.05481 [pdf, other]

Title: On extra-special Enriques surfaces

Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani

Comments: 9 pages

Journal-ref: Math. Ann. 387, 133--143 (2023)

Subjects: Algebraic Geometry (math.AG)

[58] arXiv:2201.05482 [pdf, other]

Title: A regular interpolation problem and its applications

Nilkantha Das

Comments: 9 pages. To appear in Comm. Algebra

Subjects: Algebraic Geometry (math.AG)

[59] arXiv:2201.05506 [pdf, other]

Title: Geometry of Dependency Equilibria

Irem Portakal, Bernd Sturmfels

Comments: 20 pages, to appear in Rendiconti dell'Istituto di Matematica dell'Università di Trieste

Subjects: Algebraic Geometry (math.AG); Computer Science and Game Theory (cs.GT)

[60] arXiv:2201.05553 [pdf, other]

Title: Elliptic groups and rings

Ilia Pirashvili

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

[61] arXiv:2201.05708 [pdf, other]

Title: On unipotent radicals of motivic Galois groups

Payman Eskandari, V. Kumar Murty

Journal-ref: Alg. Number Th. 17 (2023) 165-215

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

[62] arXiv:2201.05713 [pdf, other]

Title: The unipotent radical of the Mumford-Tate group of a very general mixed Hodge structure with a fixed associated graded

Payman Eskandari, V. Kumar Murty

Subjects: Algebraic Geometry (math.AG)

[63] arXiv:2201.05900 [pdf, other]

Title: Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties

George Jeffreys, Siu-Cheong Lau

Subjects: Algebraic Geometry (math.AG); Machine Learning (cs.LG); Symplectic Geometry (math.SG)

[64] arXiv:2201.05902 [pdf, other]

Title: Perverse schobers and Orlov equivalences

Naoki Koseki, Genki Ouchi

Comments: 32 pages, 2 figures, improvements based on the referee's comments

Subjects: Algebraic Geometry (math.AG)

[65] arXiv:2201.06013 [pdf, other]

Title: Divisibility of Frobenius eigenvalues on $\ell$-adic cohomology

Hélène Esnault, Daqing Wan

Comments: 7 pages

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

[66] arXiv:2201.06019 [pdf, other]

Title: Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension

Angelo Felice Lopez, Roberto Muñoz, José Carlos Sierra

Comments: The previous version of arXiv:2201.06019 has been split into two papers. This version supersedes the first part, the second part will appear soon. v3: a few small improvements, as suggested by anonymous referee

Subjects: Algebraic Geometry (math.AG)

[67] arXiv:2201.06024 [pdf, other]

Title: Intersection theory on moduli of smooth complete intersections

Andrea Di Lorenzo

Comments: 35 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[68] arXiv:2201.06032 [pdf, other]

Title: Remarks on double points of plane curves

Alessandro Gimigliano, Monica Idà

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG)

[69] arXiv:2201.06062 [pdf, other]

Title: Affine Subspace Concentration Conditions

Kuang-Yu Wu

Comments: 14 pages, v2: published version, revisions following referee's comments, major changes in Lemma 3.2 and its proof, to appear in EPIGA

Journal-ref: Épijournal de Géométrie Algébrique, Volume 7 (May 23, 2023) epiga:9382

Subjects: Algebraic Geometry (math.AG)

[70] arXiv:2201.06120 [pdf, other]

Title: Absolute prismatic cohomology

Bhargav Bhatt, Jacob Lurie

Comments: 242 pages, comments welcome

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

[71] arXiv:2201.06124 [pdf, other]

Title: The prismatization of $p$-adic formal schemes

Bhargav Bhatt, Jacob Lurie

Comments: preliminary version, 52 pages, comments welcome

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

[72] arXiv:2201.06135 [pdf, other]

Title: Basic remarks on Lagrangian submanifolds of Hyper-K\"ahler manifolds

René Mboro

Subjects: Algebraic Geometry (math.AG)

[73] arXiv:2201.06152 [pdf, other]

Title: Chow motives of quasi elliptic surfaces

Daiki Kawabe

Comments: 8 pages. Revision according to the referee's specific comments, to appear in Osaka Journal of Mathematics

Subjects: Algebraic Geometry (math.AG)

[74] arXiv:2201.06162 [pdf, html, other]

Title: Chow motives of genus one fibrations

Daiki Kawabe

Comments: 36 pages. Minor revisions. The abstract has been revised according to the referee's helpful comments. To appear in Manuscripta Mathematica

Subjects: Algebraic Geometry (math.AG)

[75] arXiv:2201.06322 [pdf, other]

Title: Scrollar invariants, syzygies and representations of the symmetric group

Wouter Castryck, Floris Vermeulen, Yongqiang Zhao

Comments: 56 pages, extended version of the accepted version

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

[76] arXiv:2201.06351 [pdf, html, other]

Title: Bigness of the tangent bundle of a Fano threefold with Picard number two

Hosung Kim, Jeong-Seop Kim, Yongnam Lee

Comments: 29 pages, 2 figures. Final version to appear in Nagoya Mathematical Journal

Subjects: Algebraic Geometry (math.AG)

[77] arXiv:2201.06402 [pdf, other]

Title: A note on the Gauss-Manin connection for abelian schemes

Tiago J. Fonseca, Nils Matthes

Comments: 11 pages; v2, minor revision, added references to work of Buium and Coleman

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

[78] arXiv:2201.06424 [pdf, other]

Title: Problems about torsors over regular rings (with an appendix by Yifei Zhao)

Kestutis Cesnavicius

Comments: 63 pages; final version, to appear in Acta Mathematica Vietnamica; added several footnotes that correct inaccuracies in the published version

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

[79] arXiv:2201.06603 [pdf, other]

Title: Galois correspondence for Galois coverings on tropical curves

JuAe Song

Comments: 12 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)

[80] arXiv:2201.06613 [pdf, other]

Title: On the two-dimensional Jacobian conjecture: Magnus' formula revisited, I

William E. Hurst, Kyungyong Lee, Li Li, George D. Nasr

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

[81] arXiv:2201.06617 [pdf, other]

Title: The Varieties of Bifocal Grassmann Tensors

Marina Bertolini, Gilberto Bini, Cristina Turrini

Subjects: Algebraic Geometry (math.AG)

[82] arXiv:2201.06646 [pdf, other]

Title: The Violation of the Lipman-Zariski conjecture in positive characteristic

Patrick Graf

Comments: Final version

Journal-ref: J. Algebra 601 (2022), pp. 115-128

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

[83] arXiv:2201.06697 [pdf, other]

Title: Parallel transport for Higgs bundles over p-adic curves

Daxin Xu

Comments: 43 pages, with an appendix joint with Tongmu He. We improve the appendix

Subjects: Algebraic Geometry (math.AG)

[84] arXiv:2201.06748 [pdf, other]

Title: Equivariant K\"ahler model for Fujiki's class

Jia Jia, Sheng Meng

Comments: 14 pages, comments are welcome!

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

[85] arXiv:2201.06869 [pdf, other]

Title: Logarithmic moduli of roots of line bundles on curves

David Holmes, Giulio Orecchia

Comments: 27 pages. Very close to published version. Comments still very welcome!

Journal-ref: Expositiones Mathematicae, Volume 41, Issue 3, 2023, Pages 577-602; special issue in memory of Bas Edixhoven

Subjects: Algebraic Geometry (math.AG)

[86] arXiv:2201.07037 [pdf, other]

Title: On fibrations and measures of irrationality of hyper-K\"ahler manifolds

Claire Voisin

Comments: Final version

Journal-ref: Revista de la Uni\'on Matem\'atica Argentina Vol. 64, No. 1, 2022, (special volume MCA) Pages 165-197

Subjects: Algebraic Geometry (math.AG)

[87] arXiv:2201.07178 [pdf, other]

Title: Kawamata boundedness for Fano threefolds and the Graded Ring Database

Gavin Brown, Alexander Kasprzyk

Comments: 23 pages, 7 figures

Subjects: Algebraic Geometry (math.AG)

[88] arXiv:2201.07392 [pdf, other]

Title: K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces

Noah Arbesfeld

Journal-ref: SIGMA 18 (2022), 078, 16 pages

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

[89] arXiv:2201.07416 [pdf, other]

Title: Degenerations and multiplicity-free formulas for products of $\psi$ and $\omega$ classes on $\overline{M}_{0,n}$

Maria Gillespie, Sean T. Griffin, Jake Levinson

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

[90] arXiv:2201.07517 [pdf, other]

Title: Symplectic and Poisson geometry of the information geometry's Frobenius manifold

Noemie Combe, Philippe Combe, Hanna Nencka

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

[91] arXiv:2201.07526 [pdf, other]

Title: Boundedness of the $p$-primary torsion of the Brauer group of an abelian variety

Marco D'Addezio

Comments: 19 pages; final version, to appear in Compositio Mathematica

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

[92] arXiv:2201.07550 [pdf, other]

Title: A theorem of Gordan and Noether via Gorenstein rings

Davide Bricalli, Filippo F. Favale, Gian Pietro Pirola

Comments: 21 pages

Journal-ref: Selecta Mathematica (2023)

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

[93] arXiv:2201.07624 [pdf, html, other]

Title: Characteristic foliations -- a survey

Fabrizio Anella, Daniel Huybrechts

Comments: 21 pages, minor corrections. To appear in Bulletin of the London Mathematical Society

Subjects: Algebraic Geometry (math.AG)

[94] arXiv:2201.07767 [pdf, other]

Title: Second Chern class and Fujiki constants of hyperk\"ahler manifolds

Thorsten Beckmann, Jieao Song

Comments: 25 pages; added an appendix on the singularities of the orbifold K4'

Subjects: Algebraic Geometry (math.AG)

[95] arXiv:2201.07952 [pdf, other]

Title: Some Fano manifolds whose Hilbert polynomial is totally reducible over $\mathbb Q$

Antonio Lanteri, Andrea Luigi Tironi

Comments: 19 pages

Subjects: Algebraic Geometry (math.AG)

[96] arXiv:2201.07967 [pdf, other]

Title: A remark on Ehresmann's Fibration Theorem

R. Virk

Subjects: Algebraic Geometry (math.AG)

[97] arXiv:2201.07982 [pdf, other]

Title: Shrinking dynamic on multidimensional tropical series

Nikita Kalinin

Comments: arXiv admin note: substantial text overlap with arXiv:1706.03062

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

[98] arXiv:2201.08015 [pdf, other]

Title: Hodge Theory and Higgs Bundle on Moduli Spaces of Smooth Varieties with Semi-Ample Canonical Line Bundles, Negativity and Hyperbolicity

Kang Zuo

Subjects: Algebraic Geometry (math.AG)

[99] arXiv:2201.08030 [pdf, other]

Title: P-adic Simpson correpondence via prismatic crystals

Yu Min, Yupeng Wang

Comments: Final version; to appear in JEMS

Subjects: Algebraic Geometry (math.AG)

[100] arXiv:2201.08063 [pdf, other]

Title: Hypergeometric sheaves for classical groups via geometric Langlands

Masoud Kamgarpour, Daxin Xu, Lingfei Yi

Comments: 49 pages, comments are welcome!

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