English

Examples of non-commutative crepant resolutions of Cohen Macaulay normal domains

Commutative Algebra 2014-06-11 v1 Algebraic Geometry Rings and Algebras

Abstract

Let AA be a Cohen-Macaulay normal domain. A non commutative crepant resolution (NCCR) of AA is an AA-algebra Γ\Gamma of the form Γ=EndA(M)\Gamma = End_A(M), where MM is a reflexive AA-module, Γ\Gamma is maximal Cohen-Macaulay as an AA-module and gldim(Γ)P=dimAPgldim(\Gamma)_P = \dim A_P for all primes PP of AA. 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}
}