Induced nilpotent orbits and birational geometry

DOI10.1016/j.aim.2009.05.001zbMath1173.22011arXiv0809.2320OpenAlexW2083847211MaRDI QIDQ838139

Yoshinori Namikawa

Publication date: 21 August 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2320

zbMATH Keywords

nilpotent orbitinduced orbitJacobson-Morozov resolutionMukai flopSpringer mapterminal singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) General properties and structure of complex Lie groups (22E10) Rational and birational maps (14E05) Deformations of complex singularities; vanishing cycles (32S30)

Related Items

Derived subalgebras of centralisers and finite -algebras ⋮ Birational geometry for the covering of a nilpotent orbit closure ⋮ Quantizations of Regular Functions on Nilpotent Orbits ⋮ Symplectic resolutions, symplectic duality, and Coulomb branches ⋮ Poisson deformations of affine symplectic varieties ⋮ The enhanced period map and equivariant deformation quantizations of nilpotent orbits ⋮ Noncommutative crepant resolutions, an overview ⋮ Spherical birational sheets in reductive groups ⋮ NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES ⋮ Theta-lifting and geometric quantization for \(\mathrm {GL}(n,\mathbb C)\) ⋮ On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits ⋮ Birational sheets in reductive groups ⋮ Equivariant deformation quantization and coadjoint orbit method ⋮ Deformations of symplectic singularities and orbit method for semisimple Lie algebras

Cites Work

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• Flops and Poisson deformations of symplectic varieties
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• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Rationality of singularities and the Gorenstein property for nilpotent orbits
• On the singularities of nilpotent orbits
• Symplectic resolutions for nilpotent orbits
• On the geometry of conjugacy classes in classical groups
• Symplectic singularities
• Extension of 2-forms and symplectic varieties
• Existence of minimal models for varieties of log general type
• Induced Unipotent Classes
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups

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