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Cohen-Macaulay local rings of maximal embedding dimension

✍ Scribed by Judith D Sally

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
832 KB
Volume
56
Category
Article
ISSN
0021-8693

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Let R, m be a local Cohen᎐Macaulay ring whose m-adic completion R has an isolated singularity. We verify the following conjecture of F.-O. Schreyer: R has finite Cohen᎐Macaulay type if and only if R has finite Cohen᎐Macaulay type. We ww xx Ž . also show that the hypersurface k x , . . . , x r f has

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We investigate the transfer of the Cohen᎐Macaulay property from a commutative ring to a subring of invariants under the action of a finite group. Our point of view is ring theoretic and not a priori tailored to a particular type of group action. As an illustration, we discuss the special case of mul