Symplectic resolutions: deformations and birational maps

Abstract

Unfortunately, some proofs in the first version of this paper were incorrect. In this revised version, some minor gaps are fixed, one serious mistake found. The main theorem is now claimed only under a restrictive technical assumption. This invalidates the application to quotient singularities by the Weyl group of type $G_2$. Everything else still stands (in particular, the claim that every symplectic resolution is semismall).

34 pages, LaTeX2e

References in corpus (5)

• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Dynkin diagrams and crepant resolutions of quotient singularities
• Erratum to the paper: Compact hyperkaehler manifolds: basic results
• Extension of 2-forms and symplectic varieties
• Holomorphic symplectic geometry and orbifold singularities

Cited by in corpus (10)

• Quantizations of conical symplectic resolutions I: local and global structure
• Hypertoric category O
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
• Symplectic Resolutions for Quotient Singularities
• Local structure of hyperkaehler singularities in O'Grady's examples
• Baby Verma modules for rational Cherednik algebras
• HyperKähler Manifolds and Birational Transformations
• Poisson geometry of the Grothendieck resolution of a complex semisimple group
• A survey on symplectic singularities and resolutions
• Mukai flops and deformations of symplectic resolutions