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Local Structure of Hyperkähler Singularities in O'Grady's Examples

Local Structure of Hyperkähler Singularities in O'Grady's Examples

We study the local structure of the singularity in the moduli space of sheaves on a K3 surface which has been resolved by K. O’Grady in his construction of new examples of hyperkaehler manifolds. In particular, we identify the singularity with the closure of a certain nilpotent orbit in the …