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Hypersurface Singularities of Finite Cohen-Macaulay Type

✍ Scribed by Solberg, O.


Book ID
120101740
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
479 KB
Volume
s3-58
Category
Article
ISSN
0024-6115

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πŸ“œ SIMILAR VOLUMES


Mixed characteristic hypersurfaces of fi
✍ Graham J. Leuschke πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 264 KB

We deΓΏne the mixed ADE singularities, which are generalizations of the ADE plane curve singularities to the case of mixed characteristic. The ADE plane curve singularities are precisely the equicharacteristic plane curve singularities of ΓΏnite Cohen-Macaulay type; we show that the mixed ADE singular

Ascent of Finite Cohen–Macaulay Type
✍ Graham Leuschke; Roger Wiegand πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 98 KB

In 1987 F.-O. Schreyer conjectured that a local ring R has finite Cohen-Macaulay type if and only if the completion R has finite Cohen-Macaulay type. We prove the conjecture for excellent Cohen-Macaulay local rings and also show by example that it can fail in general.