Article ID Journal Published Year Pages File Type
5772030 Journal of Algebra 2017 20 Pages PDF
Abstract
Let A be a Cohen-Macaulay normal domain. A non-commutative crepant resolution (NCCR) of A is an A-algebra Γ of the form Γ=EndA(M), where M is a reflexive A-module, Γ is maximal Cohen-Macaulay as an A-module and gldim(Γ)P=dim⁡AP for all primes P of A. 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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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