La singularité de O'Grady

Details La singularité de O'Grady La singularité de O'Grady

2005-04-09

arxiv.org/abs/math/0504182v2

Mathematics

Algebraic Geometry

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

Scientific paper

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 =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).

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