Geodesic
On the strange duality conjecture for abelian surfaces
Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1221-1252 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/459
Classification : 14-XX, 00-XX
Keywords: Moduli spaces of sheaves, abelian surfaces, strange duality 
@article{JEMS_2014_16_6_a3,
     author = {Alina Marian and Dragos Oprea},
     title = {On the strange duality conjecture for abelian surfaces},
     journal = {Journal of the European Mathematical Society},
     pages = {1221--1252},
     year = {2014},
     volume = {16},
     number = {6},
     doi = {10.4171/jems/459},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/459/}
}
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Alina Marian; Dragos Oprea. On the strange duality conjecture for abelian surfaces. Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1221-1252. doi: 10.4171/jems/459

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