A Reider-type theorem for higher syzygies on abelian surfaces
Algebraic Geometry
2017-04-03 v3
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 , whenever .
Keywords
Cite
@article{arxiv.1509.08621,
title = {A Reider-type theorem for higher syzygies on abelian surfaces},
author = {Alex Küronya and Victor Lozovanu},
journal= {arXiv preprint arXiv:1509.08621},
year = {2017}
}
Comments
26 pages, 2 figures; v2: some corollaries and a section on a conjecture of Gross and Popescu added; v3: minor typographical corrections