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arXiv · 1501.06766

Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals

P. H. Lima·V. H. Jorge Perez
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Abstract

In this paper, we prove some well-known results on local cohomology with respect to a pair of ideals in graded version, such as, Independence Theorem, Lichtenbaum-Harshorne Vanishing Theorem, Basic Finiteness and Vanishing Theorem, among others. Besides, we present a generalized version of Melkersson Theorem about Artinianess of modules and a result concerning Artinianess of local cohomology modules.

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P. H. Lima, V. H. Jorge Perez. 2015-01-27. Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals. https://arxiv.org/abs/1501.06766

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