Symplectic resolutions for coverings of nilpotent orbits

Abstract

Let O 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→ O , let X be the normalization of O in the function field of M. In this Note, we study the existence of symplectic resolutions for such coverings X. To cite this article: B. Fu, C. R. Acad. Sci. Paris, Ser. I 336 (2003).