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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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
29.09.2015
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Subjects | |
Online Access | Get full text |
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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 $d\geq 23$. |
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DOI: | 10.48550/arxiv.1509.08621 |