McKay correspondence for canonical orders

Details McKay correspondence for canonical orders McKay correspondence for canonical orders

2007-07-24

arxiv.org/abs/0707.3481v1

Mathematics

Algebraic Geometry

Scientific paper

Canonical 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.

Affiliated with

Also associated with

No associations

Rating

McKay correspondence for canonical orders does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with McKay correspondence for canonical orders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and McKay correspondence for canonical orders will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440002