Induced nilpotent orbits and birational geometry |
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Authors: | Yoshinori Namikawa |
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Affiliation: | Department of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa-Oiwakecho, Kyoto, Japan |
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Abstract: | In general, a nilpotent orbit closure in a complex simple Lie algebra g, does not have a crepant resolution. But, it always has a Q-factorial terminalization by the minimal model program. According to B. Fu, a nilpotent orbit closure has a crepant resolution only when it is a Richardson orbit, and the resolution is obtained as a Springer map for it. In this paper, we shall generalize this result to Q-factorial terminalizations when g is classical. Here, the induced orbits play an important role instead of Richardson orbits. |
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Keywords: | Nilpotent orbits Birational geometry Mukai flops Induced orbits Springer map Terminal singularities |
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