In a recent preprint, Y. Namikawa proposed a conjecture on Q-factorial terminalizations and their birational geometry of nilpotent orbits. He proved his conjecture for classical simple Lie algebras. In this note, 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.
@inproceedings{baohua2010on,
title={On Q-factorial terminalizations of nilpotent orbits},
author={Baohua FU},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210115052271274427},
booktitle={J. Math. Pure Appl.},
year={2010},
}
Baohua FU. On Q-factorial terminalizations of nilpotent orbits. 2010. In J. Math. Pure Appl.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210115052271274427.