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arXiv · 1509.08621

A Reider-type theorem for higher syzygies on abelian surfaces

Alex Küronya·Victor Lozovanu
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Abstract

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 $d\geq 23$.

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Alex Küronya, Victor Lozovanu. 2017-03-30. A Reider-type theorem for higher syzygies on abelian surfaces. https://arxiv.org/abs/1509.08621

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