Algebraic Geometry

Authors and titles for December 2018

[151] arXiv:1812.10516 [pdf, other]

Title: Bott vanishing for algebraic surfaces

Burt Totaro

Comments: 18 pages; v3: sharper description of which K3 surfaces satisfy Bott vanishing

Subjects: Algebraic Geometry (math.AG)

[152] arXiv:1812.10638 [pdf, other]

Title: Orbifold Euler Characteristics of $\overline{\mathcal M}_{g,n}$

Zhiyuan Wang, Jian Zhou

Subjects: Algebraic Geometry (math.AG)

[153] arXiv:1812.10673 [pdf, other]

Title: Topology of Lagrangian fibrations and Hodge theory of hyper-K\"ahler manifolds

Junliang Shen, Qizheng Yin

Comments: 29 pages. Added Appendix B by Claire Voisin. Final version accepted at Duke Mathematical Journal

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

[154] arXiv:1812.10688 [pdf, other]

Title: On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions

Wahei Hara

Journal-ref: SIGMA 17 (2021), 044, 22 pages

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

[155] arXiv:1812.10715 [pdf, other]

Title: $\mathfrak S_5$-equivariant syzygies for the Del Pezzo Surface of Degree 5

Ingrid Bauer, Fabrizio Catanese

Comments: 25 pages, more explicit formulae and pictures added. Final version to appear in the Rendiconti Circ. Mat. Palermo

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

[156] arXiv:1812.10723 [pdf, other]

Title: Biregular and birational geometry of quartic double solids with 15 nodes

Artem Avilov

Comments: Ta appear in Izv. RAN

Subjects: Algebraic Geometry (math.AG)

[157] arXiv:1812.10825 [pdf, other]

Title: Automorphisms of threefolds that can be represented as an intersection of two quadrics

Artem Avilov

Comments: Old article in Russian. Published in Math. Sb

Subjects: Algebraic Geometry (math.AG)

[158] arXiv:1812.10834 [pdf, other]

Title: Adelic geometry on arithmetic surfaces I: idelic and adelic interpretation of the Deligne pairing

Paolo Dolce

Comments: Some typos have been corrected

Journal-ref: Kyoto J. Math. 62, no. 2 (2022), 433-470

Subjects: Algebraic Geometry (math.AG)

[159] arXiv:1812.10890 [pdf, other]

Title: Gysin triangles in the category of motifs with modulus

Keiho Matsumoto

Subjects: Algebraic Geometry (math.AG)

[160] arXiv:1812.10904 [pdf, other]

Title: Modular quotient varieties and singularities by the cyclic group of order $2p$

Yin Chen, Rong Du, Yun Gao

Journal-ref: Comm. Algebra 48 (2020) 5490--5500

Subjects: Algebraic Geometry (math.AG)

[161] arXiv:1812.10905 [pdf, other]

Title: Normal bundles on the exceptional sets of simple small resolutions

Rong Du, Xinyi Fang

Subjects: Algebraic Geometry (math.AG)

[162] arXiv:1812.10909 [pdf, other]

Title: On the Milnor fibration for $f(\mathbf z)\bar g(\mathbf z)$

Mutsuo Oka

Subjects: Algebraic Geometry (math.AG)

[163] arXiv:1812.10980 [pdf, other]

Title: Effective birational rigidity of Fano double hypersurfaces

Thomas Eckl, Aleksandr Pukhlikov

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)

[164] arXiv:1812.10990 [pdf, other]

Title: Quasi-homogeneity of the moduli space of stable maps to homogeneous spaces (II)

Christoph Bärligea

Comments: 26 pages, 1 appendix, 1 figure, 1 table

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

[165] arXiv:1812.10994 [pdf, other]

Title: Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets

Saugata Basu, Cordian Riener

Comments: 58 pages. Final version published in Found. Comput. Math

Journal-ref: Foundations of Computational Mathematics, Electronically published on Aug 2, 2021

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

[166] arXiv:1812.11296 [pdf, other]

Title: Some examples of Calabi-Yau pairs with maximal intersection and no toric model

Anne-Sophie Kaloghiros

Subjects: Algebraic Geometry (math.AG)

[167] arXiv:1812.11355 [pdf, other]

Title: Codimension one distributions and stable rank 2 reflexive sheaves on threefolds

Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim

Comments: 12 pages; To appear in Annals of the Brazilian Academy of Sciences

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

[168] arXiv:1812.11363 [pdf, other]

Title: On forms of the Segre cubic

Artem Avilov

Subjects: Algebraic Geometry (math.AG)

[169] arXiv:1812.11388 [pdf, other]

Title: Differential signatures of algebraic curves

Irina A. Kogan, Michael Ruddy, Cynthia Vinzant

Comments: 35 pages, 2 figures; v2: The result on the upper bound for the degrees of signature polynomials is generalized to arbitrary subgroups of the projective group

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

[170] arXiv:1812.11492 [pdf, other]

Title: Global algebraic linear differential operators

Stefan Günther

Comments: 14 pages

Subjects: Algebraic Geometry (math.AG)

[171] arXiv:1812.11554 [pdf, other]

Title: On the Chow ring of certain Lehn-Lehn-Sorger-van Straten eightfolds

Chiara Camere, Alberto Cattaneo, Robert Laterveer

Comments: Revised version following referee report, to appear in Glasgow Math. J

Subjects: Algebraic Geometry (math.AG)

[172] arXiv:1812.11575 [pdf, other]

Title: Topological Quantum Field Theories for character varieties

Ángel González-Prieto

Comments: 202 pages, 18 figures, PhD thesis (Madrid, 2018)

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Category Theory (math.CT); Representation Theory (math.RT)

[173] arXiv:1812.11637 [pdf, other]

Title: Extended \'etale homotopy groups from profinite Galois categories

Peter J. Haine

Comments: 9 pages. Comments very welcome. v2: Removed an erroneous remark about the protruncated shape preserving finite products

Subjects: Algebraic Geometry (math.AG)

[174] arXiv:1812.11694 [pdf, other]

Title: $\ell$-adic \'etale cohomology of the moduli of stable elliptic fibrations

Jun-Yong Park

Comments: This paper is superseded by a newer paper, entitled "Étale cohomological stability of the moduli space of stable elliptic surfaces" arXiv:2207.02496 (by O. Banerjee, J. Park, and J. Schmitt)

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

[175] arXiv:1812.11710 [pdf, other]

Title: Geometric Satake correspondence for affine Kac-Moody Lie algebras of type $A$

Hiraku Nakajima

Comments: 12 pages, 1 figure, to appear in Proceeding of Kinosaki Algebraic Geometry Symposium 2018

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

[176] arXiv:1812.11908 [pdf, other]

Title: Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds

Shuai Guo, Felix Janda, Yongbin Ruan

Comments: 46 pages, 6 figures

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

[177] arXiv:1812.11913 [pdf, other]

Title: Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli of objects

Christopher Brav, Tobias Dyckerhoff

Comments: 33 pages, comments welcome

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

[178] arXiv:1812.00178 (cross-list from math.RT) [pdf, other]

Title: Non-perverse parity sheaves on the flag variety

Peter J. McNamara

Comments: 10pp. minor revisions for v4. Remains a significantly more detailed proof than the initial posting with Theorem 5.1 possibly of independent interest

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

[179] arXiv:1812.00284 (cross-list from math.CO) [pdf, other]

Title: $K$-weight bounds for $\gamma$-hyperelliptic semigroups

Ethan Cotterill, Renato Vidal Martins

Comments: final version, to appear in Semigroup Forum

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

[180] arXiv:1812.00489 (cross-list from math.SG) [pdf, other]

Title: A Lagrangian sphere which is not a vanishing cycle

François Greer

Comments: 8 pages, 1 figure. More details are included in the discussion after Prop. 5 and the proof of Prop. 8. Section 4 is streamlined significantly

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

[181] arXiv:1812.00621 (cross-list from math.NT) [pdf, other]

Title: Surface Algebras and Surface Orders II: Affine Bundles on Curves

Amelie Schreiber

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

[182] arXiv:1812.00806 (cross-list from math.CA) [pdf, other]

Title: Checking real analyticity on surfaces

Jacek Bochnak, János Kollár, Wojciech Kucharz

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

[183] arXiv:1812.00865 (cross-list from math.RT) [pdf, other]

Title: On the Structure of Double Complexes

Jonas Stelzig

Comments: final version; to appear in J. London Math. Soc

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

[184] arXiv:1812.01715 (cross-list from math.AT) [pdf, other]

Title: On functorial (co)localization of algebras and modules over operads

Javier J. Gutiérrez, Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær

Comments: 29 pages

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

[185] arXiv:1812.02490 (cross-list from math.LO) [pdf, other]

Title: Real closed valued fields with analytic structure

Pablo Cubides Kovacsics, Deirdre Haskell

Comments: 10 pages. Any comments welcomed

Journal-ref: Proceedings of the Edinburgh Mathematical Society 63 (2020) 249-261

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

[186] arXiv:1812.02505 (cross-list from math.SG) [pdf, other]

Title: A Klein TQFT: the local Real Gromov-Witten theory of curves

Penka Georgieva, Eleny-Nicoleta Ionel

Comments: 47 pages

Journal-ref: Advances in Math 391 (2021), 1-70

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

[187] arXiv:1812.02544 (cross-list from math-ph) [pdf, other]

Title: Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver

Tamás Görbe, Ádám Gyenge

Comments: 20 pages, 3 figures

Journal-ref: J. Nonlinear Math. Phy. 27 (2020) 243-266

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Exactly Solvable and Integrable Systems (nlin.SI)

[188] arXiv:1812.02612 (cross-list from math.AC) [pdf, other]

Title: Waring, tangential and cactus decompositions

Alessandra Bernardi, Daniele Taufer

Comments: 37 pages

Journal-ref: Journal de Math\'ematiques Pures et Appliqu\'ees 143, 2020, pp. 1-30

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

[189] arXiv:1812.02893 (cross-list from hep-th) [pdf, other]

Title: The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning

Yang-Hui He

Comments: book to appear with Springer; v1 #pages = #irreps(Monster), 44 figures; v2 substantially expanded: about 100 extra pages and 10 figures added

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Machine Learning (stat.ML)

[190] arXiv:1812.02907 (cross-list from math.DS) [pdf, other]

Title: Caustics of Poncelet polygons and classical extremal polynomials

Vladimir Dragovic, Milena Radnovic

Comments: 40 pages, 9 figures

Subjects: Dynamical Systems (math.DS); Algebraic Geometry (math.AG); Classical Analysis and ODEs (math.CA); Exactly Solvable and Integrable Systems (nlin.SI)

[191] arXiv:1812.03054 (cross-list from math.CV) [pdf, other]

Title: Global representation of Segre numbers by Monge-Amp\`ere products

Mats Andersson, Dennis Eriksson, Håkan Samuelsson Kalm, Elizabeth Wulcan, Alain Yger

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

[192] arXiv:1812.03423 (cross-list from math.NT) [pdf, other]

Title: On upper bounds of Manin type

Sho Tanimoto

Comments: The paper has been reorganized and the exposition has been improved. 29 pages. To appear in Algebra Number Theory

Journal-ref: Alg. Number Th. 14 (2020) 731-761

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

[193] arXiv:1812.03514 (cross-list from math-ph) [pdf, other]

Title: Bergman tau function: from Einstein equations and Dubrovin-Frobenius manifolds to geometry of moduli spaces

Dmitry Korotkin

Comments: Dedicated to 65th birthday of Emma Previato; a few misprints corrected

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Exactly Solvable and Integrable Systems (nlin.SI)

[194] arXiv:1812.03586 (cross-list from math.AC) [pdf, other]

Title: Symmetric Decomposition of the Associated Graded Algebra of an Artinian Gorenstein Algebra

Anthony Iarrobino, Pedro Macias Marques

Comments: 55 pages, some corrections and clarifications were made, index added, to appear in Journal of Pure and Applied Algebra

Journal-ref: J. Pure and Applied Algebra, Vol. 225 no. 3 (2021), paper # 106496, 49p

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

[195] arXiv:1812.03619 (cross-list from math.NT) [pdf, other]

Title: A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fields

Thomas H. Geisser, Takashi Suzuki

Comments: Accepted for publication in the Journal of Number Theory. 23 pages

Journal-ref: J. Number Theory 208 (2020), 367-389

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

[196] arXiv:1812.03713 (cross-list from math.AC) [pdf, other]

Title: $t$-local domains and valuation domains

Marco Fontana, Muhammad Zafrullah

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

[197] arXiv:1812.04106 (cross-list from math.AC) [pdf, other]

Title: Generalized Hamming weights of projective Reed--Muller-type codes over graphs

Jose Martinez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal

Comments: Discrete Math., to appear

Subjects: Commutative Algebra (math.AC); Information Theory (cs.IT); Algebraic Geometry (math.AG); Combinatorics (math.CO)

[198] arXiv:1812.04341 (cross-list from math.NT) [pdf, other]

Title: Effective estimates for the degrees of maximal special subvarieties

Christopher Daw, Ariyan Javanpeykar, Lars Kühne

Comments: 27 pages

Journal-ref: Sel. Math. New Ser. 26, 2 (2020)

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

[199] arXiv:1812.04425 (cross-list from math.AT) [pdf, other]

Title: Rings of modular forms and a splitting of $TMF_0(7)$

Lennart Meier, Viktoriya Ozornova

Comments: 62 pages; one appendix joint with Martin Olbermann

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

[200] arXiv:1812.04796 (cross-list from math.RT) [pdf, other]

Title: Springer Motives

Jens Niklas Eberhardt

Comments: minor changes, fixed typos

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