The GL(2) McKay Correspondence

Details The GL(2) McKay Correspondence The GL(2) McKay Correspondence

2008-09-11

arxiv.org/abs/0809.1973v3

Mathematics

Algebraic Geometry

Change in structure. Final version. Now uses TikZ. 20 pages

Scientific paper

In this paper we show that for any affine complete rational surface singularity there is a correspondence between the dual graph of the minimal resolution and the quiver of the endomorphism ring of the special CM modules. We thus call such an algebra the reconstruction algebra. As a consequence the derived category of the minimal resolution is equivalent to the derived category of an algebra whose quiver is determined by the dual graph. Also, for any finite subgroup G of GL(2,C), it means that the endomorphism ring of the special CM C[[x,y]]^G modules can be used to build the dual graph of the minimal resolution of C^2/G, extending McKay's observation for finite subgroups of SL(2,C) to all finite subgroups of GL(2,C).

Affiliated with

Also associated with

No associations

Rating

The GL(2) McKay Correspondence 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 The GL(2) McKay Correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The GL(2) McKay Correspondence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473907