Birational geometry for the covering of a nilpotent orbit closure

Abstract

A nilpotent orbit $O$ of a complex semisimple Lie algebra $\mathfrak{g}$ has finite fundamental group. Associated with an etale cover of $O$, we have a finite cover of the closure $\bar{O}$ of $O$. In this article we consider the finite cover X associated with the universal cover of a nilpotent orbit $O$ of a classical simple Lie algebra $\mathfrak{g}$. We construct explicitly a Q-factorial terminalization of X in a group theoretic way.

54 pages; accepted version (To appear in Selecta Math)

References in corpus (5)

• Quantizations of conical symplectic resolutions I: local and global structure
• Induced nilpotent orbits and birational geometry
• Birational geometry and deformations of nilpotent orbits
• Birational geometry of symplectic resolutions of nilpotent orbits II
• On the affinization of a nilpotent orbit cover

Cited by in corpus (2)

• On the affinization of a nilpotent orbit cover
• The universal covers of hypertoric varieties and Bogomolov's decomposition