ON SMOOTHNESS OF MINIMAL MODELS OF QUOTIENT SINGULARITIES BY FINITE SUBGROUPS OF SLn(ℂ)

DOI10.1017/S0017089517000325zbMath1398.32035arXiv1602.01572OpenAlexW2963197204MaRDI QIDQ3177347

Ryo Yamagishi

Publication date: 24 July 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01572

zbMATH Keywords

crepant resolutionsCox ringquotient singularitiesfinite subgroups of \(\mathrm{SL}_n(\mathbb C)\)projective symplectic resolutions

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Global theory of complex singularities; cohomological properties (32S20)

Related Items

Moduli of \(G\)-constellations and crepant resolutions. I: The abelian case, On parabolic subgroups of symplectic reflection groups, Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution

Uses Software

• Macaulay2
• SINGULAR

Cites Work

• Unnamed Item
• Crepant resolutions of a Slodowy slice in a nilpotent orbit closure in \(\mathfrak {sl}_N(\mathbb C)\)
• GIT-equivalence beyond the ample cone
• Finite quaternionic reflection groups
• Shafarevich maps and plurigenera of algebraic varieties
• Small contractions of symplectic 4-folds
• McKay correspondence for symplectic quotient singularities.
• Certain invariant subrings are Gorenstein. I
• On crepant resolutions of symplectic quotient singularities
• Minimal resolutions of Gorenstein orbifolds in dimension three
• A new linear quotient of \(\mathbf C^4\) admitting a symplectic resolution.
• On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32
• On the (non)existence of symplectic resolutions of linear quotients
• 4-dimensional symplectic contractions
• The McKay correspondence as an equivalence of derived categories
• COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES
• Cox rings of du Val singularities
• Cox Rings
• Cox rings and combinatorics
• Cox rings, semigroups and automorphisms of affine algebraic varieties
• Existence of minimal models for varieties of log general type
• On singular Calogero-Moser spaces
• Geometric Invariant Theory
• The McKay correspondence for finite subgroups of SL(3,\C)
• A symplectic resolution for the binary tetrahedral group
• Crepant Resolutions of 3-Dimensional Quotient Singularities via Cox Rings
• Geometric invariant theory and flips
• Finite Unitary Reflection Groups
• Holomorphic symplectic geometry and orbifold singularities
• Mori dream spaces and GIT.