On the strange duality conjecture for abelian surfaces

Alina Marian; Dragos Oprea

Journal of the European Mathematical Society (2014)

  • Volume: 016, Issue: 6, page 1221-1252
  • ISSN: 1435-9855

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.