A Reider-type theorem for higher syzygies on abelian surfaces

Building on the theory of infinitesimal Newton--Okounkov bodies and previous work of Lazarsfeld--Pareschi--Popa, we present a Reider-type theorem for higher syzygies of ample line bundles on abelian surfaces. As an application of our methods we confirm a conjecture of Gross and Popescu on abelian su...

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Bibliographic Details
Main Authors Küronya, Alex, Lozovanu, Victor
Format Journal Article
LanguageEnglish
Published 29.09.2015
Subjects
Mathematics - Algebraic Geometry
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Summary:Building on the theory of infinitesimal Newton--Okounkov bodies and previous work of Lazarsfeld--Pareschi--Popa, we present a Reider-type theorem for higher syzygies of ample line bundles on abelian surfaces. As an application of our methods we confirm a conjecture of Gross and Popescu on abelian surfaces with a very ample primitive polarization of type $(1,d)$, whenever $d\geq 23$.
DOI:10.48550/arxiv.1509.08621