Contraction of excess fibres between the McKay correspondences in dimensions two and three

DOI10.5802/aif.2315zbMath1133.14004arXivmath/0504360OpenAlexW1675482203MaRDI QIDQ2466301

Alessandra Sarti, Samuel Boissière

Publication date: 14 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0504360

zbMATH Keywords

Hilbert schemesMcKay correspondencequotient singularitiespolyhedral groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (5)

A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds ⋮ Motivic multiplicative McKay correspondence for surfaces ⋮ Curve counting invariants for crepant resolutions ⋮ The quantum McKay correspondence for polyhedral singularities ⋮ BPS invariants for resolutions of polyhedral singularities

Cites Work

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• McKay correspondence and Hilbert schemes
• McKay correspondence and Hilbert schemes in dimension three
• Polyhedral groups and pencils of \(K3\)-surfaces with maximal Picard number
• Kleinian singularities, derived categories and Hall algebras
• The McKay correspondence as an equivalence of derived categories
• Construction géométrique de la correspondance de McKay
• On the exceptional fibres of Kleinian singularities
• Coinvariant Algebras of Finite Subgroups of SL(3;C)
• Algebraic Families on an Algebraic Surface
• Hilbert schemes of \(G\)-orbits in dimension three
• Pencils of symmetric surfaces in \(\mathbb{P}_3\).

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