Algebraic Geometry

Authors and titles for July 2018

[201] arXiv:1807.06073 (cross-list from math.SG) [pdf, other]

Title: Antiflips, mutations, and unbounded symplectic embeddings of rational homology balls

Jonathan David Evans, Giancarlo Urzúa

Comments: 39 pages; to appear in Annales de l'Institut Fourier

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

[202] arXiv:1807.06327 (cross-list from math.CO) [pdf, other]

Title: Difference between families of weakly and strongly maximal integral lattice-free polytopes

Gennadiy Averkov

Comments: Proof of Lemma 11 fixed, Question 14 added

Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); Metric Geometry (math.MG); Optimization and Control (math.OC)

[203] arXiv:1807.06400 (cross-list from math.DS) [pdf, other]

Title: Dynamical systems for arithmetic schemes

Christopher Deninger

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

[204] arXiv:1807.06435 (cross-list from cs.CG) [pdf, other]

Title: Computing the Homology of Semialgebraic Sets I: Lax Formulas

Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto

Comments: 43 pages

Journal-ref: Found Comput Math 20, 71-118 (2020)

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

[205] arXiv:1807.06528 (cross-list from math.FA) [pdf, other]

Title: Notes on asymptotic eigenvalues distribution on complex circles

Giovanni Barbarino

Subjects: Functional Analysis (math.FA); Algebraic Geometry (math.AG); Numerical Analysis (math.NA)

[206] arXiv:1807.07256 (cross-list from math.DG) [pdf, other]

Title: Calabi-Yau metrics on canonical bundles of flag varieties

Craig van Coevering

Comments: 11 pages

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

[207] arXiv:1807.07370 (cross-list from math.NT) [pdf, html, other]

Title: On the $L$-polynomials of curves over finite fields

Francesco Ballini, Davide Lombardo, Matteo Verzobio

Comments: Second version: added several results concerning the non-archimedean distribution of L-polynomials and a conjecture about the distribution of the number of points of curves over finite fields. Two authors added. v3: Clarified relation with a conjecture of Bergström, Howe, Lorenzo-García, and Ritzenthaler; acknowledgements updated. 38 pages

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

[208] arXiv:1807.08246 (cross-list from math.CV) [pdf, other]

Title: A Brief Chronicle of the Levi (Hartogs' Inverse) Problem, Coherence and an Open Problem

Junjiro Noguchi

Journal-ref: ICCM Notices 7(2) (2019), 19-24

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

[209] arXiv:1807.08442 (cross-list from math.CV) [pdf, other]

Title: Adjoint $(1,1)$-classes on threefolds

Andreas Höring

Comments: 8 pages

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

[210] arXiv:1807.08550 (cross-list from math.DG) [pdf, other]

Title: Special K\"ahler structures, cubic differentials and hyperbolic metrics

Andriy Haydys, Bin Xu

Comments: v2: Results strengthened, added a section on compactifications of the moduli spaces, exposition improved

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

[211] arXiv:1807.08755 (cross-list from hep-th) [pdf, other]

Title: Characteristic numbers of crepant resolutions of Weierstrass models

Mboyo Esole, Monica Jinwoo Kang

Comments: 34 pages, 9 Tables

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

[212] arXiv:1807.09092 (cross-list from math.AT) [pdf, other]

Title: On equivariant and motivic slices

Drew Heard

Comments: Version to appear in Algebraic & Geometric Topology

Journal-ref: Algebr. Geom. Topol. 19 (2019) 3641-3681

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

[213] arXiv:1807.09209 (cross-list from math.QA) [pdf, other]

Title: Hodge Theory of the Turaev Cobracket and the Kashiwara--Vergne Problem

Richard Hain

Comments: Corrections to statement and proof of Prop. 9.3. To appear in JEMS: 39 pages, 1 figure

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG); Geometric Topology (math.GT)

[214] arXiv:1807.09367 (cross-list from math.DG) [pdf, other]

Title: Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, Ruobing Zhang

Comments: 95 pages

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

[215] arXiv:1807.09563 (cross-list from hep-th) [pdf, other]

Title: Superstring Field Theory, Superforms and Supergeometry

R. Catenacci, P.A. Grassi, S. Noja

Comments: LaTeX, 39pp, no figures

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

[216] arXiv:1807.09704 (cross-list from math.DG) [pdf, other]

Title: Generalized K\"ahler metrics from Hamiltonian deformations

Marco Gualtieri

Comments: 26 pages

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

[217] arXiv:1807.09889 (cross-list from math.RA) [pdf, other]

Title: Some Noncommutative Minimal Surfaces

D. Rogalski, S. J. Sierra, J. T. Stafford

Comments: 42 pages; Third and final version to appear in Advances in Mathematics: minor revisions from second version

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

[218] arXiv:1807.09909 (cross-list from math.NT) [pdf, other]

Title: The Hasse principle for finite Galois modules allowing exceptional sets of positive density

Yasuhiro Ishitsuka, Tetsushi Ito

Comments: 21 pages; The main theorem is generalized and the proof is revised according to J.-P. Serre's suggestion. This version also contains general results on the Hasse principle for finite Galois modules allowing exceptional sets of positive density; to appear in International Journal of Number Theory

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

[219] arXiv:1807.09997 (cross-list from math.NT) [pdf, other]

Title: The basic locus of the unitary Shimura variety with parahoric level structure, and special cycles

Sungyoon Cho

Comments: 54 pages

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

[220] arXiv:1807.10171 (cross-list from math.GT) [pdf, other]

Title: Section problems for configurations of points on the Riemann sphere

Lei Chen, Nick Salter

Comments: 25 pages with 4 figures

Journal-ref: Algebr. Geom. Topol. 20 (2020) 3047-3082

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

[221] arXiv:1807.10172 (cross-list from math.GT) [pdf, other]

Title: A Note on Schoen's Calabi--Yau Threefolds

Hülya Argüz, Thomas Prince

Comments: 6 pages

Journal-ref: Rendiconti Seminario Matematico Torino, Vol.79, 1, pg 15-20, 2021

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

[222] arXiv:1807.10223 (cross-list from math.NT) [pdf, other]

Title: Integral Hasse principle and strong approximation for Markoff surfaces

Daniel Loughran, Vladimir Mitankin

Comments: 28 pages

Journal-ref: Published, IMRN 18 (2021), 14086-14122

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

[223] arXiv:1807.10230 (cross-list from math.GT) [pdf, other]

Title: Random walks, WPD actions, and the Cremona group

Joseph Maher, Giulio Tiozzo

Comments: 54 pages, 8 figures. Various revisions; improved rate of decay to exponential

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Dynamical Systems (math.DS); Probability (math.PR)

[224] arXiv:1807.10496 (cross-list from math.RT) [pdf, other]

Title: Affine hyperplane arrangements and Jordan classes

Giovanna Carnovale, Francesco Esposito

Comments: Major revision. More details added in some remarks and proofs. Proposition 10.10 corrected

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

[225] arXiv:1807.10502 (cross-list from math.AC) [pdf, other]

Title: Integrable derivations in the sense of Hasse-Schmidt for some binomial plane curve

María de la Paz Tirado Hernández

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

[226] arXiv:1807.10691 (cross-list from math.DG) [pdf, other]

Title: On the K\"ahler-Yang-Mills-Higgs equations

Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada

Comments: 25 pages. v2: typos corrected

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

[227] arXiv:1807.10883 (cross-list from math.DG) [pdf, other]

Title: The Grassmannian of affine subspaces

Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye

Comments: 25 pages, 1 figure. This article contains material in earlier versions of arXiv:1607.01833, which has been split into two parts at an editor's recommendation

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

[228] arXiv:1807.11466 (cross-list from hep-th) [pdf, other]

Title: Feynman integrals, toric geometry and mirror symmetry

Pierre Vanhove

Comments: 41 pages. Contribution to "Elliptic integrals, elliptic functions and modular forms in quantum field theory". v2: minor corrections

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

[229] arXiv:1807.11625 (cross-list from math.DG) [pdf, other]

Title: On the Total Curvature and Betti Numbers of Complex Projective Manifolds

Joseph Ansel Hoisington

Comments: Comments welcome

Journal-ref: Geom. Topol. 26 (2022) 1-45

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

[230] arXiv:1807.11903 (cross-list from math.DS) [pdf, other]

Title: On the circumcenters of triangular orbits in elliptic billards

Corentin Fierobe

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