On the strange duality conjecture for abelian surfaces

Marian, Alina, and Oprea, Dragos. "On the strange duality conjecture for abelian surfaces." Journal of the European Mathematical Society 016.6 (2014): 1221-1252. <http://eudml.org/doc/277617>.

@article{Marian2014,
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 ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.},
author = {Marian, Alina, Oprea, Dragos},
journal = {Journal of the European Mathematical Society},
keywords = {moduli spaces of sheaves; abelian surfaces; strange duality; Fourier-Mukai; strange duality; Fourier-Mukai; abelian surface},
language = {eng},
number = {6},
pages = {1221-1252},
publisher = {European Mathematical Society Publishing House},
title = {On the strange duality conjecture for abelian surfaces},
url = {http://eudml.org/doc/277617},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Marian, Alina
AU - Oprea, Dragos
TI - On the strange duality conjecture for abelian surfaces
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 6
SP - 1221
EP - 1252
AB - 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 ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.
LA - eng
KW - moduli spaces of sheaves; abelian surfaces; strange duality; Fourier-Mukai; strange duality; Fourier-Mukai; abelian surface
UR - http://eudml.org/doc/277617
ER -