On set theoretically and cohomologically complete intersection ideals (Q2925364)
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scientific article; zbMATH DE number 6359637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On set theoretically and cohomologically complete intersection ideals |
scientific article; zbMATH DE number 6359637 |
Statements
21 October 2014
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local cohomology modules
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formal grade
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set-theoretically and cohomologically complete intersection ideals
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analytic spread
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monomials
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On set theoretically and cohomologically complete intersection ideals (English)
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To each ideal \(\mathfrak a\) of a noetherian ring \(R\) one can attach some numerical invariants. Let us recall some of them from the small to the large. The height of \(\mathfrak a\), the cohomological dimension of \(\mathfrak a\), the arithmetic rank of \(\mathfrak a\), the analytic spread of \(\mathfrak a\) and the number of generators of \(\mathfrak a\). The paper under review provides conditions on which the equality holds between these numerical invariants.
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