On the strange duality conjecture for abelian surfaces
Algebraic Geometry
2012-07-24 v1
Abstract
We study Le Potier's strange duality conjecture for moduli spaces of sheaves over generic abelian surfaces. We prove the isomorphism for abelian surfaces which are products of elliptic curves, when the moduli spaces consist of sheaves of equal ranks and fiber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.
Cite
@article{arxiv.1207.5307,
title = {On the strange duality conjecture for abelian surfaces},
author = {Alina Marian and Dragos Oprea},
journal= {arXiv preprint arXiv:1207.5307},
year = {2012}
}