Desingularization of singular hyperkähler varieties. I
Let \(M\) be a singular hyperkähler variety, obtained as a moduli space of stable holomorphic bundles on a compact hyperkähler manifold. Consider \(M\) as a complex variety in one of the complex structures induced by the hyperkähler structure. We show that normalization of \(M\) is smooth, hyperkähler and does not depend on the choice of induced complex structure.
normalization locally homogeneous singularity
scientific article