English

On Q-factorial terminalizations of nilpotent orbits

Algebraic Geometry 2020-08-19 v3 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0809.5109,
  title  = {On Q-factorial terminalizations of nilpotent orbits},
  author = {Baohua Fu},
  journal= {arXiv preprint arXiv:0809.5109},
  year   = {2020}
}

Comments

A mistake (pointed out by Travis Schedler) in Appendix is corrected

R2 v1 2026-06-21T11:25:30.017Z