McKay correspondence for canonical orders

DOI10.1090/S0002-9947-09-05010-7zbMath1203.14007arXiv0707.3481MaRDI QIDQ3552089

Chan, Daniel

Publication date: 13 April 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3481

zbMATH Keywords

minimal resolutionMcKay correspondencecyclic covercanonical order

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Representations of orders, lattices, algebras over commutative rings (16G30) Singularities in algebraic geometry (14B05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) McKay correspondence (14E16)

Related Items (2)

Mckay correspondence for semisimple Hopf actions on regular graded algebras. I ⋮ Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

Cites Work

• Unnamed Item
• Two-dimensional orders of finite representation type
• Three-dimensional flops and noncommutative rings
• Twisted homogeneous coordinate rings
• Correction to: Maximal orders of global dimension and Krull dimension two
• Del Pezzo orders on projective surfaces.
• Kleinian singularities, derived categories and Hall algebras
• The minimal model program for orders over surfaces
• Noncommutative cyclic covers and maximal orders on surfaces
• The McKay correspondence as an equivalence of derived categories
• The ramification divisor of regular tame orders,i
• Canonical singularities of orders over surfaces
• Equivalences of derived categories of sheaves on smooth stacks
• Reflexive modules over rational double points

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