On Q-factorial terminalizations of nilpotent orbits
On Q-factorial terminalizations of nilpotent orbits
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DOI：
10.1016/j.matpur.2009.08.010
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发表时间：
2008-09
期刊：
影响因子：
--
通讯作者：
Baohua Fu
中科院分区：
文献类型：
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作者：
Baohua Fu
在最近的预印本中，Y. Namikawa提出了一个猜想的Q-阶乘终结的幂零轨道封闭，他证明了他的猜想为经典的简单李代数。本文证明了他关于例外单李代数的猜想。对于双有理几何，与经典情形相反，出现了两种新的Mukai flops。我们也给出了正规化只有Q-阶乘或终端奇点的单李代数中幂零轨道闭包的分类。
In a recent preprint, Y. Namikawa proposed a conjecture on Q-factorial terminalizations of nilpotent orbit closures and he proved his conjecture for classical simple Lie algebras. In this paper, we prove his conjecture for exceptional simple Lie algebras. For the birational geometry, contrary to the classical case, two new types of Mukai flops appear. We also give classifications of nilpotent orbit closures in simple Lie algebras whose normalization has only Q-factorial or terminal singularities.