On Reid's recipe for non-abelian groups

DOI10.2969/aspm/08810095zbMath1520.14023arXiv2109.10039OpenAlexW3201349193MaRDI QIDQ6170332

Alvaro Nolla de Celis

Publication date: 15 August 2023

Published in: McKay Correspondence, Mutation and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10039

zbMATH Keywords

McKay correspondencecrepant resolutionsReid's recipeG-Hilbert schemes

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Representations of quivers and partially ordered sets (16G20) McKay correspondence (14E16) Sheaves in algebraic geometry (14F06)

Cites Work

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• Flops and mutations for crepant resolutions of polyhedral singularities
• McKay correspondence and Hilbert schemes in dimension three
• An explicit construction of the McKay correspondence for \(A\)-Hilb \(\mathbb C^3\)
• Geometric Reid's recipe for dimer models
• Derived Reid's recipe for abelian subgroups of \(\mathrm{SL}_3(\mathbb{C})\)
• The McKay correspondence as an equivalence of derived categories
• Gorenstein quotient singularities in dimension three
• Construction géométrique de la correspondance de McKay
• A derived approach to geometric McKay correspondence in dimension three
• The McKay correspondence for finite subgroups of SL(3,\C)
• G-GRAPHS AND SPECIAL REPRESENTATIONS FOR BINARY DIHEDRAL GROUPS IN GL(2,ℂ)
• Hilbert schemes of \(G\)-orbits in dimension three

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