Derived McKay correspondence for \(\mathrm{GL}(3,\mathbb{C})\)

DOI10.1016/j.aim.2018.01.022zbMath1393.14015arXiv1609.09540OpenAlexW2963262363MaRDI QIDQ1705486

Yujiro Kawamata

Publication date: 15 March 2018

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

Full work available at URL: https://arxiv.org/abs/1609.09540

zbMATH Keywords

toric varietyderived categoryminimal model programMcKay correspondence

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Minimal model program (Mori theory, extremal rays) (14E30) McKay correspondence (14E16)

Related Items (3)

On the Craw-Ishii conjecture ⋮ \(G\)-constellations and the maximal resolution of a quotient surface singularity ⋮ Categorical measures for finite group actions

Cites Work

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• Derived categories of toric varieties. III
• Derived categories of toric varieties. II.
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Three-dimensional flops and noncommutative rings
• Flops connect minimal models
• Derived categories of toric varieties
• Threefolds and deformations of surface singularities
• On the length of an extremal rational curve
• \(D\)-equivalence and \(K\)-equivalence
• Flops and derived categories.
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• Kleinian singularities, derived categories and Hall algebras
• Derived equivalences by quantization
• The McKay correspondence as an equivalence of derived categories
• Birational Geometry via Moduli Spaces
• Window shifts, flop equivalences and Grassmannian twists
• Equivalences and stratified flops
• Construction géométrique de la correspondance de McKay
• Existence of minimal models for varieties of log general type
• Derived Categories and Birational Geometry
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• Mukai flops and derived categories
• The derived category of a GIT quotient
• The special McKay correspondence and exceptional collections

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