Algebraic Geometry

Authors and titles for July 2018

[51] arXiv:1807.03992 [pdf, other]

Title: Real algebraic curves with large finite number of real points

Erwan Brugallé (LMJL), Alex Degtyarev, Ilia Itenberg (IMJ-PRG), Frédéric Mangolte (LAREMA)

Journal-ref: European Journal of Mathematics, 5 (2019), no. 3, 686--711

Subjects: Algebraic Geometry (math.AG)

[52] arXiv:1807.04030 [pdf, other]

Title: Limit mixed Hodge structures of hyperk\"ahler manifolds

Andrey Soldatenkov

Comments: 12 pages; improved the exposition in sections 3.1 - 3.3; to appear in Mosc. Math. J

Journal-ref: Mosc. Math. J. 20 (2020), no. 2, 423-436

Subjects: Algebraic Geometry (math.AG)

[53] arXiv:1807.04057 [pdf, other]

Title: Arithmetic and metric aspects of open de Rham spaces

Tamás Hausel, Michael Lennox Wong, Dimitri Wyss

Comments: 66 pages

Subjects: Algebraic Geometry (math.AG)

[54] arXiv:1807.04092 [pdf, other]

Title: Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms

Daniele Bartoli, Luciane Quoos, Zülfükar Saygı, Emrah Sercan Yılmaz

Subjects: Algebraic Geometry (math.AG)

[55] arXiv:1807.04097 [pdf, other]

Title: A version of the Berglund-H\"ubsch-Henningson duality with non-abelian groups

Wolfgang Ebeling, Sabir M. Gusein-Zade

Comments: 22 pages, to appear in Int. Math. Res. Not. IMRN

Subjects: Algebraic Geometry (math.AG)

[56] arXiv:1807.04136 [pdf, other]

Title: Hitchin connection on the Veech curve

Shehryar Sikander

Comments: Acknowledgements added. Minor typos corrected

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

[57] arXiv:1807.04187 [pdf, other]

Title: Two points of the boundary of toric geometry

Bernard Teissier (IMJ)

Journal-ref: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics, In press

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

[58] arXiv:1807.04197 [pdf, other]

Title: Cut-and-join equation for monotone Hurwitz numbers revisited

Petr Dunin-Barkowski, Reinier Kramer, Alexandr Popolitov, Sergey Shadrin

Comments: 7 pages. v2: Added a second proof of lemma 2.3, using Jucys-Murphy elements, and expanded motivation

Journal-ref: J. Geom. Phys. 137 (2019), 1-6

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

[59] arXiv:1807.04217 [pdf, other]

Title: A note on Nikulin surfaces and their moduli spaces

Marco Ramponi

Comments: 14 p., minor modifications and small improvements. To appear in Math. Z

Subjects: Algebraic Geometry (math.AG)

[60] arXiv:1807.04253 [pdf, other]

Title: The localization theorem for framed motivic spaces

Marc Hoyois

Comments: 10 pages. v3: final version, to appear in Compositio; v2: include the characteristic 2 case

Journal-ref: Compositio Math. 157 (2021) 1-11

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

[61] arXiv:1807.04394 [pdf, other]

Title: A note on certain superspecial and maximal curves of genus $5$

Momonari Kudo

Comments: An article putting results in this paper and in [arXiv:1804.09063] together will be appeared in Communications in Algebra

Journal-ref: Communications in Algebra, Vol. 47, Issue 12, 5020-5038, 2019

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

[62] arXiv:1807.04530 [pdf, other]

Title: On the geometry of the set of symmetric matrices with repeated eigenvalues

Paul Breiding, Khazhgali Kozhasov, Antonio Lerario

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

[63] arXiv:1807.04659 [pdf, other]

Title: Comptage des syst\`emes locaux $\ell$-adiques sur une courbe

Hongjie Yu

Comments: In French, 85 pages, final version, with minor revision from the previous version

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

[64] arXiv:1807.04725 [pdf, other]

Title: The arc-topology

Bhargav Bhatt, Akhil Mathew

Comments: 64 pages; updated version (multiple small changes)

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

[65] arXiv:1807.04782 [pdf, other]

Title: Number of Rational points of the Generalized Hermitian Curves over $\mathbb F_{p^n}$

Emrah Sercan Yılmaz

Subjects: Algebraic Geometry (math.AG)

[66] arXiv:1807.04847 [pdf, other]

Title: On a generalized canonical bundle formula and generalized adjunction

Stefano Filipazzi

Comments: Improved the exposition. Added Theorem 1.8, which is an alternative version of Theorem 1.7. Added a technical assumption in Theorem 6.7 (previously 6.6)

Journal-ref: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 21 (2020), 1187-1221

Subjects: Algebraic Geometry (math.AG)

[67] arXiv:1807.04859 [pdf, other]

Title: Lifting vector bundles to Witt vector bundles

Charles De Clercq, Mathieu Florence, Giancarlo Lucchini Arteche

Comments: Enriched version

Subjects: Algebraic Geometry (math.AG)

[68] arXiv:1807.04879 [pdf, other]

Title: Toroidal Schubert Varieties

Mahir Bilen Can, Reuven Hodges, Venkatramani Lakshmibai

Comments: To appear in Algebras and Representation Theory

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

[69] arXiv:1807.04944 [pdf, other]

Title: Loose edges

Janusz Gwoździewicz, Beata Hejmej

Subjects: Algebraic Geometry (math.AG)

[70] arXiv:1807.04989 [pdf, other]

Title: Bivariant derived algebraic cobordism

Toni Annala

Comments: Accepted version

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

[71] arXiv:1807.05121 [pdf, other]

Title: The relative canonical resolution: Macaulay2-package, experiments and conjectures

Christian Bopp, Michael Hoff

Comments: 11 pages

Journal-ref: J. Softw. Alg. Geom. 11 (2021) 15-24

Subjects: Algebraic Geometry (math.AG)

[72] arXiv:1807.05134 [pdf, other]

Title: Calabi-Yau orbifolds over Hitchin bases

Florian Beck

Comments: 25 pages. Comments welcome!

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

[73] arXiv:1807.05137 [pdf, other]

Title: Components of the Hilbert Scheme of smooth projective curves using ruled surfaces

Youngook Choi, Hristo Iliev, Seonja Kim

Subjects: Algebraic Geometry (math.AG)

[74] arXiv:1807.05160 [pdf, other]

Title: Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets

Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka, Adam Parusinski

Journal-ref: Mathematische Annalen, 374 no. 1-2 (2019), pp. 211-251

Subjects: Algebraic Geometry (math.AG)

[75] arXiv:1807.05192 [pdf, other]

Title: Base divisors of big and nef line bundles on irreducible symplectic varieties

Ulrike Riess

Comments: 20 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG)

[76] arXiv:1807.05270 [pdf, other]

Title: Curves, Jacobians, and Cryptography

Gerhard Frey, Tony Shaska

Comments: 66 pages

Journal-ref: Contemp. Math., 724, pg. 279 -- 344, Amer. Math. Soc., Providence, RI, 2019

Subjects: Algebraic Geometry (math.AG)

[77] arXiv:1807.05416 [pdf, other]

Title: On the Gorensteinization of Schubert Varieties via Boundary Divisors

Sergio Da Silva

Comments: 40 pages, 8 figures, shortened version of PhD thesis. The second version contains important new results, including a combinatorial description for the exceptional divisors in the degeneration as well as a subword description for non-Gorenstein Kazhdan-Lusztig varieties. These results can be found in Section 2.3

Subjects: Algebraic Geometry (math.AG)

[78] arXiv:1807.05475 [pdf, other]

Title: Strong factorization and the braid arrangement fan

John Machacek

Comments: v2 is revised and shorten, Section 4 of v1 has been removed

Journal-ref: Tohoku Math. J. (2) 73 (1) 99 - 104, 2021

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

[79] arXiv:1807.05501 [pdf, other]

Title: Note on equivariant $I$-function of local $P^n$

Hyenho Lho

Comments: 10 pages

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

[80] arXiv:1807.05503 [pdf, other]

Title: Equivariant holomorphic anomaly equation

Hyenho Lho

Comments: 58 pages, new results for KP3 are included, the contents in arXiv:1807.05501 are included in Appendix, arXiv admin note: substantial text overlap with arXiv:1702.06096, arXiv:1803.01409, arXiv:1804.04399

Subjects: Algebraic Geometry (math.AG)

[81] arXiv:1807.05558 [pdf, other]

Title: On finite polynomial mappings

Zbigniew Jelonek

Subjects: Algebraic Geometry (math.AG)

[82] arXiv:1807.05697 [pdf, other]

Title: Stacky GKM Graphs and Orbifold Gromov-Witten Theory

Chiu-Chu Melissa Liu, Artan Sheshmani

Comments: 38 pages; generalization of arXiv:1407.1370; Section 6 extends Section 9 of arXiv:1107.4712

Journal-ref: Asian Journal of Mathematics, Vol. 24 (2020), No. 5, 855-902

Subjects: Algebraic Geometry (math.AG)

[83] arXiv:1807.05714 [pdf, other]

Title: Good recursive towers over prime fields exist

Alp Bassa, Christophe Ritzenthaler

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

[84] arXiv:1807.05723 [pdf, other]

Title: Infinite transitivity for Calogero-Moser spaces

Karine Kuyumzhiyan

Comments: 6 pages

Subjects: Algebraic Geometry (math.AG)

[85] arXiv:1807.05881 [pdf, other]

Title: Webs of rational curves on real surfaces and a classification of real weak del Pezzo surfaces

Niels Lubbes

Journal-ref: J. London Math. Soc. 103 (2020) 398-448

Subjects: Algebraic Geometry (math.AG)

[86] arXiv:1807.05885 [pdf, other]

Title: Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms

Adrien Dubouloz (IMB), Gene Freudenburg, Lucy Moser-Jauslin (IMB)

Subjects: Algebraic Geometry (math.AG)

[87] arXiv:1807.05919 [pdf, other]

Title: Irrational toric varieties and secondary polytopes

Ata Pir, Frank Sottile

Comments: 24 pages

Subjects: Algebraic Geometry (math.AG)

[88] arXiv:1807.05928 [pdf, other]

Title: Moduli spaces of sheaves that are semistable with respect to a K\"ahler polarisation

Daniel Greb, Matei Toma

Comments: 21 pages

Journal-ref: Journal de l'\'Ecole polytechnique Math\'ematiques 7 (2020), 233-261

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

[89] arXiv:1807.05946 [pdf, other]

Title: Hyperbolicity and uniformity of varieties of log general type

Kenneth Ascher, Kristin DeVleming, Amos Turchet

Comments: v5: exposition greatly improved. Previous section on function fields removed, to be expanded upon in a future paper. To appear in IMRN

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

[90] arXiv:1807.05967 [pdf, other]

Title: A note on a question of Dimca and Greuel

Patricio Almirón, Guillem Blanco

Comments: To Appear in Comptes Rendus Mathematique, Ser. I 357 (2019), 205-208

Journal-ref: Comptes Rendus Mathematique, Ser. I 357 (2019), 205-208

Subjects: Algebraic Geometry (math.AG)

[91] arXiv:1807.06169 [pdf, other]

Title: Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces

Emanuele Macrì, Paolo Stellari

Comments: 66 pages. v2: Minor corrections, updated bibliography. To appear in: Birational Geometry of Hypersurfaces, Lecture Notes of the Unione Matematica Italiana, Springer

Subjects: Algebraic Geometry (math.AG)

[92] arXiv:1807.06283 [pdf, other]

Title: Tropical Fano Schemes

Sara Lamboglia

Comments: 16 pages, 3 figures. Version 2 contains generalised version of Theorems 2.3 and 4.2 where not just tropicalized lines are considered but any tropicalized linear space

Subjects: Algebraic Geometry (math.AG)

[93] arXiv:1807.06415 [pdf, other]

Title: Lefschetz Properties for Higher Order Nagata Idealizations

Armando Cerminara, Rodrigo Gondim, Giovanna Ilardi, Fulvio Maddaloni

Comments: 16 pages, 4 figures. To appear in Advances in Applied Mathematics

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

[94] arXiv:1807.06477 [pdf, other]

Title: Automorphisms of pointless surfaces

Constantin Shramov, Vadim Vologodsky

Comments: Minor corrections; 46 pages

Subjects: Algebraic Geometry (math.AG)

[95] arXiv:1807.06930 [pdf, other]

Title: On the relative twist formula of $\ell$-adic sheaves

Enlin Yang, Yigeng Zhao

Comments: 20 pages

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

[96] arXiv:1807.06936 [pdf, other]

Title: Strongly ambiguous Hilbert squares of projective K3 surfaces with Picard number one

Riccardo Zuffetti

Comments: 13 pages

Journal-ref: Rend. Semin. Mat. Univ. Politec. Torino, Vol. 77, 1 (2019), 113 - 130

Subjects: Algebraic Geometry (math.AG)

[97] arXiv:1807.06969 [pdf, other]

Title: The Hilb/Sym correspondence for C2: descendents and Fourier-Mukai

Rahul Pandharipande, Hsian-Hua Tseng

Comments: 25 pages, to appear in Math. Annalen

Journal-ref: Mathematische Annalen, Volume 375 (2019), Issue 1-2, pp 509--540

Subjects: Algebraic Geometry (math.AG)

[98] arXiv:1807.07008 [pdf, other]

Title: Halves of points of an odd degree hyperelliptic curve in its jacobian

Yuri G. Zarhin

Comments: 14 pages

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

[99] arXiv:1807.07135 [pdf, other]

Title: Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces

Ivan A. Cheltsov, Yanir A. Rubinstein, Kewei Zhang

Comments: v2: minor changes

Journal-ref: Selecta Math. 25 (2019), 1-36

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

[100] arXiv:1807.07183 [pdf, other]

Title: Kato-Matsumoto-type results for disentanglements

Matthias Zach, Guillermo Peñafort Sanchis

Comments: 21 pages, 4 figures. Final version after acceptance for publication

Subjects: Algebraic Geometry (math.AG)