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Notes on local cohomology and duality

URN to cite this document:
urn:nbn:de:bvb:355-epub-279066
Hellus, Michael ; Schenzel, Peter
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Date of publication of this fulltext: 13 Mar 2013 09:55


Abstract

We provide a formula (see Theorem 1.5) for the Matlis dual of the injective hull of R/p where p is a one dimensional prime ideal in a local complete Gorenstein domain (R,m). This is related to results of Enochs and Xu (see [4] and [3]). We prove a certain ’dual’ version of the Hartshorne-Lichtenbaum vanishing (see Theorem 2.2). There is a generalization of local duality to cohomologically ...

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