La singularit\'{e} de O'Grady
Algebraic Geometry
2007-05-23 v2
Abstract
Let M be the moduli space of semistable sheaves with Mukai vector 2v on an abelian or K3 surface where v is primitive such that <v,v>=2. We show that the blow-up of the reduced singular locus of M provides a symplectic resolution of singularities. This gives a direct description of O'Grady's resolutions of M\_{K3}(2,0,4) and M\_{Ab}(2,0,2).
Cite
@article{arxiv.math/0504182,
title = {La singularit\'{e} de O'Grady},
author = {Manfred Lehn and Christoph Sorger},
journal= {arXiv preprint arXiv:math/0504182},
year = {2007}
}
Comments
In French. Major revision. Final version. To appear in Journal of Algebraic Geometry