Finite Cohen-Macaulay type and smooth non-commutative schemes

Details Finite Cohen-Macaulay type and smooth non-commutative schemes Finite Cohen-Macaulay type and smooth non-commutative schemes

2005-04-22

arxiv.org/abs/math/0504468v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

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.

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