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Homogeneous ideal decompositions in general graded rings with ACC

✍ Scribed by Elizabeth M. Strohmeier

Publisher: Springer
Year: 1969
Tongue: English
Weight: 441 KB
Volume: 181
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01350629

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Local Cohomology of Stanley–Reisner Ring

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We study the local cohomology modules H k ⌬ of the Stanley᎐Reisner ring w x k ⌬ of a simplicial complex ⌬ with support in the ideal I ; k ⌬ corresponding ⌺ to a subcomplex ⌺ ; ⌬. We give a combinatorial topological formula for the multigraded Hilbert series, and in the case where the ambient comple