Uniqueness of crepant resolutions and symplectic singularities.

DOI10.5802/aif.2008zbMath1063.14018arXivmath/0306091OpenAlexW1691518058MaRDI QIDQ1890145

Yoshinori Namikawa, Baohua Fu

Publication date: 20 December 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306091

zbMATH Keywords

crepant resolutionsymplectic manifoldsymplectic singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Related Items

WREATH PRODUCTS, NILPOTENT ORBITS AND SYMPLECTIC DEFORMATIONS ⋮ P=W conjectures for character varieties with symplectic resolution ⋮ A survey on symplectic singularities and symplectic resolutions ⋮ THE COHOMOLOGICAL CREPANT RESOLUTION CONJECTURE FOR ℙ(1,3,4,4) ⋮ Invariant Hilbert scheme of the Cox realization of the nilpotent cone in \(\mathfrak{sl}(n)\) ⋮ Symplectic resolutions for nilpotent orbits. II. ⋮ Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms ⋮ 4-dimensional symplectic contractions ⋮ Invariant Hilbert schemes and desingularizations of symplectic reductions for classical groups ⋮ On the existence of symplectic resolutions of symplectic reductions ⋮ Mukai flops and deformations of symplectic resolutions ⋮ On the Kummer construction ⋮ Complex adjoint orbits in Lie theory and geometry

Cites Work

• The number of the minimal models for a 3-fold of general type is finite
• Polarizations in the classical groups
• Compact hyperkähler manifolds: Basic results
• Symplectic resolutions for nilpotent orbits
• Symplectic resolutions for nilpotent orbits. II.
• Small contractions of symplectic 4-folds
• McKay correspondence for symplectic quotient singularities.
• On the geometry of conjugacy classes in classical groups
• Symplectic singularities
• Termination of Flops for 4-Folds
• On toric hyper-Kähler manifolds given by the hyper-Kähler quotient method
• Contractions of symplectic varieties
• Higher-dimensional algebraic geometry
• Deformation theory of singular symplectic \(n\)-folds
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