2001•Communications in AlgebraRequires access

UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION

Enrico Sbarra

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Abstract

We prove an analogous of the celebrated upper bound theorem of Bigatti, Hulett, Pardue on Betti numbers for the Hilbert functions of local cohomology modules.

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We prove an analogous of the celebrated upper bound theorem of Bigatti, Hulett, Pardue on Betti numbers for the Hilbert functions of local cohomology modules.

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OpenAlex reports 40 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We prove an analogous of the celebrated upper bound theorem of Bigatti, Hulett, Pardue on Betti numbers for the Hilbert functions of local cohomology modules.

Key concepts: Mathematics, Local cohomology, Hilbert series and Hilbert polynomial, Pure mathematics, Local ring, Hilbert's fourteenth problem, Cohomology, Ring (chemistry)

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