UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
Enrico Sbarra
Abstract
Enrico Sbarra
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.
Key concepts: Mathematics, Local cohomology, Hilbert series and Hilbert polynomial, Pure mathematics, Local ring, Hilbert's fourteenth problem, Cohomology, Ring (chemistry)