Brodmann, M (2002). A rigidity result for highest order local cohomology modules. Archiv der Mathematik, 79(2):87-92.
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Let M be a finitely generated faithful module over a noetherian ring R of dimension d < ¥ and let a R be an ideal. We describe the (finite) set SuppR(H ad (M)) = AssR(H ad (M)) of primes associated to the highest local cohomology module H ad (M) in terms of the local formal behaviour of a . If R is integral and of finite type over a field, SuppR(H 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/ a)).
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Deposited On:||27 May 2010 15:30|
|Last Modified:||23 Nov 2012 17:21|
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