Algebraic Geometry

Authors and titles for January 2022

[1] arXiv:2201.00033 [pdf, other]

Title: Weierstrass semigroups from cyclic covers of hyperelliptic curves

Ethan Cotterill, Nathan Pflueger, Naizhen Zhang

Comments: 30 pages. Final version, to appear in Bulletin of the Brazilian Mathematical Society

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

[2] arXiv:2201.00064 [pdf, other]

Title: Parabolic connections and stack of roots

Niels Borne, Amine Laaroussi

Subjects: Algebraic Geometry (math.AG)

[3] arXiv:2201.00476 [pdf, other]

Title: On invariant of the regularity index of fat points

Phan Van Thien

Subjects: Algebraic Geometry (math.AG)

[4] arXiv:2201.00493 [pdf, other]

Title: Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces

Zhiyuan Li, Ruxuan Zhang

Comments: 7 pages. Corollary 3.3 added. Comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[5] arXiv:2201.00545 [pdf, other]

Title: Parametric Root Finding for Supporting Proving and Discovering Geometric Inequalities in GeoGebra

Zoltán Kovács (The Private University College of Education of the Diocese of Linz, Linz, Austria), Róbert Vajda (Bolyai Institute, University of Szeged, Szeged, Hungary)

Comments: In Proceedings ADG 2021, arXiv:2112.14770

Journal-ref: EPTCS 352, 2021, pp. 167-172

Subjects: Algebraic Geometry (math.AG); Mathematical Software (cs.MS)

[6] arXiv:2201.00619 [pdf, other]

Title: Finite quotients of abelian varieties with a Calabi-Yau resolution

Cécile Gachet

Comments: 54 pages, including the programs in the 6-page-long Appendix

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

[7] arXiv:2201.00839 [pdf, html, other]

Title: Koszul modules with vanishing resonance in algebraic geometry

Marian Aprodu, Gavril Farkas, Claudiu Raicu, Jerzy Weyman

Comments: 28 pages. To appear in Selecta Math

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

[8] arXiv:2201.01049 [pdf, other]

Title: A note on free determinantal hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$

Marek Janasz, Paulina Wiśniewska

Comments: 8 pages

Subjects: Algebraic Geometry (math.AG)

[9] arXiv:2201.01178 [pdf, other]

Title: Applications of the fibration method for zero-cycles to the Brauer-Manin obstruction to the existence of zero-cycles on certain varieties

Evis Ieronymou

Comments: corrected assumptions for Theorem 1.2 and Theorem 1.3

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

[10] arXiv:2201.01202 [pdf, other]

Title: On the Log Abundance for Compact K\"ahler $3$-folds

Omprokash Das, Wenhao Ou

Comments: Various changes throughout the article. The main results are all unchanged. Final version, accepted for publication in Manuscripta Mathematica

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

[11] arXiv:2201.01234 [pdf, other]

Title: On the $p$-adic theory of local models

Johannes Anschütz, Ian Gleason, João Lourenço, Timo Richarz

Comments: Comments welcome!

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

[12] arXiv:2201.01507 [pdf, other]

Title: Notes on regular holonomic $D$-modules for algebraic geometers

Morihiko Saito

Comments: 34 pages

Subjects: Algebraic Geometry (math.AG)

[13] arXiv:2201.01587 [pdf, html, other]

Title: Local and global invariant cycle theorems for Hodge modules

Morihiko Saito

Subjects: Algebraic Geometry (math.AG)

[14] arXiv:2201.01645 [pdf, other]

Title: On quasi-tame Looijenga pairs

Andrea Brini, Yannik Schuler

Comments: 15 pages. v2: minor changes, explanations added, 18 pages. Version accepted for publication on Commun. Num. Theor. Phys

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

[15] arXiv:2201.01665 [pdf, other]

Title: Geometry of Points Satisfying Cayley-Bacharach Conditions and Applications

Nicola Picoco

Comments: Minor changes

Subjects: Algebraic Geometry (math.AG)

[16] arXiv:2201.01934 [pdf, other]

Title: Duality for p-adic \'etale Tate Twists with modulus

Kento Yamamoto

Comments: 44 pages

Subjects: Algebraic Geometry (math.AG)

[17] arXiv:2201.01979 [pdf, other]

Title: $\infty$-Categorical Approaches to Hodge-Iwasawa Theory I: Introduction and Extensions

Xin Tong

Comments: 169 pages. Based on our dissertation on the title of the Geometric and Representation Theoretic Aspects of p-adic Motives. Added the corresponding Clausen-Scholze formalism on solid quasicoherent sheaves, solid vector bundles and solid perfect complexes, as well as liquid quasicoherent sheaves, liquid vector bundles and liquid perfect complexes

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

[18] arXiv:2201.01982 [pdf, other]

Title: Dimension computations for tropical determinantal varieties and prevarieties

Dylan Zwick

Comments: 25 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2112.14945, arXiv:2201.01028

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

[19] arXiv:2201.02144 [pdf, other]

Title: Definable structures on flat bundles

Benjamin Bakker, Scott Mullane

Comments: 7 pages. Comments welcome!

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

[20] arXiv:2201.02150 [pdf, other]

Title: K3 surfaces with action of the group $M_{20}$

Paola Comparin, Romain Demelle

Comments: new version

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

[21] arXiv:2201.02329 [pdf, other]

Title: Asymptotic slopes and strong semistability on surfaces

Mitra Koley, A.J. Parameswaran

Comments: Comments welcome

Subjects: Algebraic Geometry (math.AG)

[22] arXiv:2201.02367 [pdf, other]

Title: Deligne-Beilinson cohomology of the universal K3 surface

Zhiyuan Li, Xun Zhang

Comments: 26 pages, any comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[23] arXiv:2201.02413 [pdf, other]

Title: Fano manifolds with Lefschetz defect 3

C. Casagrande, E. A. Romano, S. A. Secci

Comments: 30 pages, 2 figures. This version of the paper incorporates the published article with its corrigendum [CRS22], where a missing case in Prop. 7.1 is added

Subjects: Algebraic Geometry (math.AG)

[24] arXiv:2201.02871 [pdf, other]

Title: $\mathbb{Z}/2\mathbb{Z}$-Equivariant smoothings of cusp singularities

Angelica Simonetti

Comments: Comments welcome!

Subjects: Algebraic Geometry (math.AG)

[25] arXiv:2201.02906 [pdf, other]

Title: Higher rank Brill-Noether theory on P^2

Benjamin Gould, Yeqin Liu, Dorian Woo-Hyung

Comments: 29 pages, published version. Comments welcome

Subjects: Algebraic Geometry (math.AG)

[26] arXiv:2201.02984 [pdf, other]

Title: On isotropic and numerical equivalence of cycles

Alexander Vishik

Comments: to appear in Selecta Mathematica

Subjects: Algebraic Geometry (math.AG)

[27] arXiv:2201.03088 [pdf, other]

Title: Viro-Zvonilov inequalities for flexible curves on an almost complex four-dimensional manifold

V. I. Zvonilov

Comments: 13 pages, 2 figures, to be published in: Lobachevskii Journal Of Mathematics, Vol.43, No.3, (1922), pp.1473--1480

Subjects: Algebraic Geometry (math.AG)

[28] arXiv:2201.03124 [pdf, other]

Title: Minimum quantum degrees with Maya diagrams

Ryan M. Shifler

Comments: Major revisions

Subjects: Algebraic Geometry (math.AG)

[29] arXiv:2201.03223 [pdf, other]

Title: Degeneration of log Calabi-Yau pairs via log canonical places

Guodu Chen, Chuyu Zhou

Comments: 19 pages. Final version. Theorem 5.4 removed for further study. To appear in IMRN

Subjects: Algebraic Geometry (math.AG)

[30] arXiv:2201.03325 [pdf, other]

Title: Measure preserving holomorphic vector fields, invariant anti-canonical divisors and Gibbs stability

Robert J.Berman

Comments: Dedicated to Laszlo Lempert on the occasion of his 70th anniversary. 24 pages

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

[31] arXiv:2201.03350 [pdf, other]

Title: Unpolarized Shafarevich conjectures for hyper-K\"ahler varieties

Lie Fu, Zhiyuan Li, Haitao Zou

Comments: This preprint is superseded by arXiv:2203.10391

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

[32] arXiv:2201.03615 [pdf, other]

Title: Geometric Rank and Linear Determinantal Varieties

Runshi Geng

Subjects: Algebraic Geometry (math.AG); Computational Complexity (cs.CC)

[33] arXiv:2201.03654 [pdf, other]

Title: The unreasonable effectiveness of wall-crossing in algebraic geometry

Arend Bayer, Emanuele Macrì

Comments: Contribution to the ICM 2022; 24 pages, 3 figures

Subjects: Algebraic Geometry (math.AG)

[34] arXiv:2201.03703 [pdf, other]

Title: Riemann Hypothesis for Non-Abelian Zeta Functions of Curves over Finite Fields

Lin Weng

Comments: 45 pages

Subjects: Algebraic Geometry (math.AG)

[35] arXiv:2201.03833 [pdf, other]

Title: Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on $K3$ Surfaces

Georg Oberdieck

Journal-ref: SIGMA 18 (2022), 076, 15 pages

Subjects: Algebraic Geometry (math.AG)

[36] arXiv:2201.03895 [pdf, other]

Title: Virtual motives for synthetic geometries, A. Definition and properties of $K_0(\mathcal{Q}_\ell)$

Koen Thas

Comments: 56 pages; submitted (October 2021)

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

[37] arXiv:2201.03899 [pdf, other]

Title: Categorical Torelli theorems: results and open problems

Laura Pertusi, Paolo Stellari

Comments: 59 pages. Final version to appear in a special issue of Rend. Circ. Mat. Palermo (2)

Subjects: Algebraic Geometry (math.AG)

[38] arXiv:2201.04095 [pdf, other]

Title: On the monodromy map for the logarithmic differential systems

Marian Aprodu, Indranil Biswas, Sorin Dumitrescu, Sebastian Heller

Journal-ref: Bull. Soc. Math. France 150 (3), 2022, p. 543-568

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

[39] arXiv:2201.04097 [pdf, other]

Title: $K$-polystability of smooth Fano $\text{SL}_2$-threefolds

Jack Rogers

Comments: 59 pages, 19 figures

Subjects: Algebraic Geometry (math.AG)

[40] arXiv:2201.04101 [pdf, other]

Title: On flat pullbacks for Chow groups

Nitin Nitsure

Comments: Reason for re-submission: The Introduction and the end remarks are modified, a reference is added. 9 pages

Subjects: Algebraic Geometry (math.AG)

[41] arXiv:2201.04268 [pdf, other]

Title: Sparse trace tests

Taylor Brysiewicz, Michael Burr

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

[42] arXiv:2201.04284 [pdf, other]

Title: A generalized second main theorem for closed subschemes

Liang Wang, Tingbin Cao, Hongzhe Cao

Comments: 17 pages. This is the final verion which is accepted and will appear in Annales Polonici Mathematici. arXiv admin note: text overlap with arXiv:1910.07966 by other authors

Journal-ref: Annales Polonici Mathematici, 129(3), 2022

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

[43] arXiv:2201.04385 [pdf, other]

Title: Riemann-Hurwitz theorem and second main theorem for harmonic morphisms on graphs or metrized complexes

Tingbin Cao, Mengnan Cheng

Comments: 36 pages

Subjects: Algebraic Geometry (math.AG)

[44] arXiv:2201.04403 [pdf, other]

Title: The Geometries of Jordan nets and Jordan webs

Arthur Bik, Henrik Eisenmann

Comments: 38 pages

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

[45] arXiv:2201.04519 [pdf, other]

Title: On the Seshadri constants of equivariant bundles over Bott-Samelson varieties and wonderful compactifications

Indranil Biswas, Krishna Hanumanthu, S. Senthamarai Kannan

Comments: 15 pages; final version; to appear in manuscripta mathematica

Subjects: Algebraic Geometry (math.AG)

[46] arXiv:2201.04573 [pdf, other]

Title: Diagonal quartic surfaces with a Brauer-Manin obstruction

Tim Santens

Comments: 50 pages, to appear in Compositio Mathematica

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

[47] arXiv:2201.04585 [pdf, other]

Title: Pseudostable Hodge integrals

Renzo Cavalieri, Joel Gallegos, Dustin Ross, Brandon Van Over, Jonathan Wise

Comments: 20 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[48] arXiv:2201.04785 [pdf, other]

Title: Geometric and Representation Theoretic Aspects of $p$-adic Motives

Xin Tong

Comments: 953 pages. Our PhD thesis, based on arXiv:2201.01979, arXiv:2112.12679, arXiv:2112.10616, arXiv:2102.10766, arXiv:2102.10693, arXiv:2102.10692, arXiv:2101.03748, arXiv:2012.07338, arXiv:2012.07336, arXiv:2012.07308, arXiv:2011.08358, arXiv:2010.06093, arXiv:2006.03692

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

[49] arXiv:2201.04821 [pdf, other]

Title: Admissible metrics on compact K\"ahler varieties

Wenhao Ou

Comments: The proof of uniform Sobolev inequality in the first version contains a serious gap. We could not fix it, and propose it as a conjecture in the new version. Therefore, the proof on the existence of HYM metrics in the first version is not complete

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

[50] arXiv:2201.04856 [pdf, other]

Title: Supersolvable resolutions of line arrangements

Jakub Kabat

Comments: 9 pages, 1 figure

Subjects: Algebraic Geometry (math.AG)