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Local cohomology with support in a parameter ideal

✍ Scribed by Hochster, Melvin; Yao, Yongwei

Book ID
119305675
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
249 KB
Volume
217
Category
Article
ISSN
0022-4049

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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

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In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such