La singularité de O'Grady
Manfred Lehn, Christoph Sorger
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).
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