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- Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - Gorenstein - MMP
Cohen-Macaulay
Cohen-Macaulay
- scheme definitions
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regular scheme
- Tags: - #AG/basics - Refs: - #todo/add-references - Links: - smooth scheme - closed point - Cohen-Macaulay - Noetherian scheme
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regular ring
Idea: regular local rings correspond to smooth points on schemes. In general, regular rings \(\subseteq\) Gorenstein rings \(\subseteq\) Cohen-Macaulay rings.
- Kodaira vanishing
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Gorenstein
A particular class of Cohen-Macaulay rings. Idea: Gorenstein is somewhere between Cohen-Macaulay and a complete intersection.
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2021-04-29_2 Yves Andre On the canonical, fpqc and finite topologies
See Cohen-Macaulay rings and modules