Birational geometry for the covering of a nilpotent orbit closure

2019/07/17 by Yoshinori Namikawa, Namikawa, Yoshinori
Mathematics · #14E50 #17B08 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1907.07812

openalex publication_date 2019/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A nilpotent orbit O of a complex semisimple Lie algebra \mathfrakg has finite fundamental group. Associated with an etale cover of O, we have a finite cover of the closure 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 \mathfrakg. We construct explicitly a Q-factorial terminalization of X in a group theoretic way.

Citations

• Birational geometry of symplectic resolutions of nilpotent orbits II

Related

• A characterization of nilpotent orbit closures among symplectic singularities II
• Symplectic Resolutions for Coverings of Nilpotent Orbits
• Birational geometry of symplectic resolutions of nilpotent orbits II
• On Q-factorial terminalizations of nilpotent orbits
• On the affinization of a nilpotent orbit cover