McKay correspondence for canonical orders

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dc.creatorChan, Daniel
dc.date2007-07-24
dc.date.accessioned2026-07-07T08:19:52Z
dc.date.available2026-07-07T08:19:52Z
dc.descriptionCanonical orders, introduced in the minimal model program for orders, are simultaneous generalisations of Kleinian singularities and their associated skew group rings. In this paper, we construct minimal resolutions of canonical orders via non-commutative cyclic covers and skew group rings. This allows us to exhibit a derived equivalence between minimal resolutions of canonical orders and the skew group ring form of the canonical order in all but one case. The Fourier-Mukai transform used to construct this equivalence allows us to make explicit, the numerical version of the McKay correspondence for canonical orders which, relates the exceptional curves of the minimal resolution to the indecomposable reflexive modules of the canonical order.
dc.identifierhttps://arxiv.org/abs/0707.3481
dc.identifierhttp://arxiv.org/abs/0707.3481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134915
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.titleMcKay correspondence for canonical orders
dc.typetext

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