La singularité de O'Grady

2005/04/09 by Lehn, Manfred, Sorger, Christoph · 1 citation
#14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14J60 #Secondary 14D20

paper · doi:10.48550/arxiv.math/0504182

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 =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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