La singularité de O'Grady

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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).
In French. Major revision. Final version. To appear in Journal of Algebraic Geometry

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Algebraic Geometry, Primary 14J60; Secondary 14D20, 14J28

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http://salesiana.dossiersoluciones.com/handle/123456789/101191

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504182
 http://arxiv.org/abs/math/0504182

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arXiv