Integrality of Seshadri constants and irreducibility of principal polarizations on products of two isogenous elliptic curves

DOI10.1007/s00229-021-01312-8zbMath1490.14015arXiv1911.10843OpenAlexW3160679278MaRDI QIDQ2148099

Maximilian Schmidt

Publication date: 21 June 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10843

zbMATH Keywords

abelian surfacesSeshadri constantsprinciple polarizations

Mathematics Subject Classification ID

Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Surfaces and higher-dimensional varieties (14J99) Isogeny (14K02) Divisors, linear systems, invertible sheaves (14C20) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Abelian varieties and schemes (14K99)

Related Items (1)

Seshadri functions on abelian surfaces

Cites Work

• Seshadri constants on the self-product of an elliptic curve
• Elliptic curves on abelian surfaces
• Remarks on Seshadri constants
• Nef cone volumes and discriminants of abelian surfaces
• Existence of curves of genus two on a product of two elliptic curves
• On the integrality of Seshadri constants of abelian surfaces
• The moduli spaces of Jacobians isomorphic to a product of two elliptic curves
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