Hypersurface Singularities of Finite Cohen-Macaulay Type
β 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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π SIMILAR VOLUMES
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
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.