Finite Cohen-Macaulay type and smooth non-commutative schemes
环与代数
2007-05-23 v1
摘要
A commutative local Cohen-Macaulay ring R of finite Cohen-Macaulay type is known to be an isolated singularity; that is, Spec(R)-m is smooth. This paper proves a non-commutative analogue. Namely, if A is a (non-commutative) graded AS Cohen-Macaulay algebra which is FBN and has finite Cohen-Macaulay type, then the non-commutative projective scheme determined by A is smooth.
引用
@article{arxiv.math/0504468,
title = {Finite Cohen-Macaulay type and smooth non-commutative schemes},
author = {Peter Jorgensen},
journal= {arXiv preprint arXiv:math/0504468},
year = {2007}
}
备注
14 pages