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April 2016 Critical k-very ampleness for abelian surfaces
Wafa Alagal, Antony Maciocia
Kyoto J. Math. 56(1): 33-47 (April 2016). DOI: 10.1215/21562261-3445147

Abstract

Let (S,L) be a polarized abelian surface of Picard rank 1, and let ϕ be the function which takes each ample line bundle L' to the least integer k such that L' is k-very ample but not (k+1)-very ample. We use Bridgeland’s stability conditions and Fourier–Mukai techniques to give a closed formula for ϕ(Ln) as a function of n, showing that it is linear in n for n>1. As a by-product, we calculate the walls in the Bridgeland stability space for certain Chern characters.

Citation

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Wafa Alagal. Antony Maciocia. "Critical k-very ampleness for abelian surfaces." Kyoto J. Math. 56 (1) 33 - 47, April 2016. https://doi.org/10.1215/21562261-3445147

Information

Received: 11 March 2014; Revised: 22 May 2014; Accepted: 3 December 2014; Published: April 2016
First available in Project Euclid: 15 March 2016

zbMATH: 1342.14024
MathSciNet: MR3479317
Digital Object Identifier: 10.1215/21562261-3445147

Subjects:
Primary: 14C20
Secondary: 14D22, 14K99

Rights: Copyright © 2016 Kyoto University

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Vol.56 • No. 1 • April 2016
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