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Desingularization of singular hyperkaehler varieties I

Misha Verbitsky
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Abstract

Let $M$ be a singular hyperkaehler variety, obtained as a moduli space of stable holomorphic bundles on a compact hyperkaehler manifold (alg-geom/9307008). Consider $M$ as a complex variety in one of the complex structures induced by the hyperkaehler structure. We show that normalization of $M$ is smooth, hyperkaehler and does not depend on the choice of induced complex structure.

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Misha Verbitsky. 1996-11-12. Desingularization of singular hyperkaehler varieties I. https://arxiv.org/abs/alg-geom/9611015

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