Symplectic Resolutions for Coverings of Nilpotent Orbits

2002/12/02 by Baohua Fu
Mathematics · #math.AG

paper · pdf

published as C. R. Acad. Sci. Paris Ser. I 336(2003), 159-162

arxiv created 2002/12/02 · arxiv updated 2009/11/30

Abstract

Let \0 be a nilpotent orbit in a semisimple complex Lie algebra \g. Denote by G the simply connected Lie group with Lie algebra \g. For a G-homogeneous covering M → \0, let X be the normalization of \0 in the function field of M. In this note, we study the existence of symplectic resolutions for such coverings X.

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