On Q-factorial terminalizations of nilpotent orbits

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.

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

References in corpus (3)

• Induced nilpotent orbits and birational geometry
• Induce/restrict matrices for exceptional Weyl groups
• Birational geometry of symplectic resolutions of nilpotent orbits II

Cited by in corpus (3)

• Masses, Sheets and Rigid SCFTs
• Generic singularities of nilpotent orbit closures
• Birational sheets in reductive groups