A rigidity result for highest order local cohomology modules

Brodmann, M (2002). A rigidity result for highest order local cohomology modules. Archiv der Mathematik, 79(2):87-92.

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Abstract

Let M be a finitely generated faithful module over a noetherian ring R of dimension d < ¥ and let $\mathfrak$ a $\subseteqq$ R be an ideal. We describe the (finite) set SuppR(H $\mathfrak$ ad (M)) = AssR(H $\mathfrak$ ad (M)) of primes associated to the highest local cohomology module H $\mathfrak$ ad (M) in terms of the local formal behaviour of $\mathfrak$ a . If R is integral and of finite type over a field, SuppR(H $\mathfrak$ ad (M)) is the set of those closed points of X = Spec(R) whose fibre under the normalization morphism n: X¢® X contains points which are isolated in n-1(Spec(R/ $\mathfrak$ a)).

Item Type:	Journal Article, refereed, original work
Communities & Collections:	07 Faculty of Science > Institute of Mathematics
DDC:	510 Mathematics
Language:	English
Date:	2002
Deposited On:	27 May 2010 15:30
Last Modified:	23 Nov 2012 17:21
Publisher:	Springer
ISSN:	0003-889X
Publisher DOI:	10.1007/s00013-002-8289-y
Related URLs:	http://www.ams.org/mathscinet-getitem?mr=1925374 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1090.13011

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