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arXiv · 1207.5307

On the strange duality conjecture for abelian surfaces

Alina Marian·Dragos Oprea
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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.

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Alina Marian, Dragos Oprea. 2012-07-23. On the strange duality conjecture for abelian surfaces. https://arxiv.org/abs/1207.5307

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