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Finite Cohen-Macaulay type and smooth non-commutative schemes

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

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 Artin-Schelter Cohen-Macaulay algebra which is fully bounded Noetherian and has finite Cohen-Macaulay type, then the non-commutative projective scheme determined by A is smooth.

Publication metadata

Author(s): Jorgensen P

Publication type: Article

Publication status: Published

Journal: Canadian Journal of Mathematics

Year: 2008

Volume: 60

Issue: 2

Pages: 379-390

ISSN (print): 0008-414X

ISSN (electronic): 1496-4279

Publisher: University of Toronto Press

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