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Notes on local cohomology and duality

Hellus, Michael and Schenzel, Peter (2012) Notes on local cohomology and duality. Preprintreihe der Fakultät Mathematik 21/2012, Working Paper.

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2012
Institutions:Mathematics > Prof. Dr. Michael Hellus
Classification:
NotationType
13D45MSC
14M10MSC
13C40MSC
Keywords:Local cohomology, complete intersections, cohomological dimension
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:27906
Owner only: item control page

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