Desingularization of singular hyperkaehler varieties II

Details Desingularization of singular hyperkaehler varieties II Desingularization of singular hyperkaehler varieties II

1996-12-18

arxiv.org/abs/alg-geom/9612013v1

Mathematics

Algebraic Geometry

LaTeX 2e, 15 pages. This paper can be read independently from the first part. `Desingularization part I' appeared in alg-geom/

Scientific paper

This is a second part of alg-geom/9611015. We construct a natural hyperkaehler desingularization for all singular hyperkaehler varieties. The desingularization theorem was proven in alg-geom/9611015 under additional assumption of local homogeneity. Here we show that local homogeneity is redundant: every singular hyperkaehler variety has locally homogeneous singularities.

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