Examples of non-commutative crepant resolutions of Cohen Macaulay normal domains
Commutative Algebra
2014-06-11 v1 Algebraic Geometry
Rings and Algebras
Abstract
Let be a Cohen-Macaulay normal domain. A non commutative crepant resolution (NCCR) of is an -algebra of the form , where is a reflexive -module, is maximal Cohen-Macaulay as an -module and for all primes of . We give bountiful examples of equi-characteristic Cohen-Macaulay normal local domains and mixed characteristic Cohen-Macaulay normal local domains having NCCR. We also give plentiful examples of affine Cohen-Macaulay normal domains having NCCR.
Keywords
Cite
@article{arxiv.1406.2540,
title = {Examples of non-commutative crepant resolutions of Cohen Macaulay normal domains},
author = {Tony J. Puthenpurakal},
journal= {arXiv preprint arXiv:1406.2540},
year = {2014}
}