Symplectic Resolutions for Coverings of Nilpotent Orbits

Details Symplectic Resolutions for Coverings of Nilpotent Orbits Symplectic Resolutions for Coverings of Nilpotent Orbits

2002-12-02

arxiv.org/abs/math/0212024v1

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

Mathematics

Algebraic Geometry

Scientific paper

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 $M \to \0$, let $X$ be the normalization of $\bar{\0}$
in the function field of $M$. In this note, we study the existence of
symplectic resolutions for such coverings $X$.

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