Seshadri functions on abelian surfaces

DOI10.1016/j.aim.2022.108827zbMath1504.14012arXiv2204.06444OpenAlexW4312193743MaRDI QIDQ2679882

Maximilian Schmidt

Publication date: 26 January 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06444

zbMATH Keywords

elliptic curveabelian surfaceSeshadri constantSeshadri function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Elliptic curves (14H52) Divisors, linear systems, invertible sheaves (14C20) Subvarieties of abelian varieties (14K12)

Cites Work

• Binary quadratic forms. An algorithmic approach
• Seshadri constants on the self-product of an elliptic curve
• Seshadri constants on algebraic surfaces
• Seshadri constants and periods of polarized abelian varieties
• Elliptic curves on abelian surfaces
• Seshadri constants on principally polarized abelian surfaces with real multiplication
• Integrality of Seshadri constants and irreducibility of principal polarizations on products of two isogenous elliptic curves
• Restricted volumes and base loci of linear series
• A primer on Seshadri constants
• Base loci of linear series are numerically determined
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