Birational geometry in codimension 2 of symplectic resolutions

2004/09/14 by Baohua Fu, Fu, Baohua · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.math/0409224

12 pages

arxiv created 2004/09/14 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the conjecture that two projective symplectic resolutions for a symplectic variety W are related by Mukai's elementary transformations over W in codimension 2 in the following cases: (i). nilpotent orbit closures in a classical simple complex Lie algebra; (ii). some quotient symplectic varieties.

Citations

• Symplectic Resolutions for Quotient Singularities

Cited by

• On the existence of crepant resolutions of Gorenstein Abelian quotient singularities in dimensions ≥ 4

Related

• Birational geometry of symplectic resolutions of nilpotent orbits II
• Birational Geometry of symplectic resolutions of nilpotent orbits
• Symplectic resolutions for nilpotent orbits (II)
• Symplectic resolutions for conical symplectic varieties
• Geometry and topology of symplectic resolutions