Low-codimensional associated primes of graded components of local cohomology modules
نویسندگان
چکیده
منابع مشابه
Low-codimensional associated primes of graded components of local cohomology modules
Let R = ⊕n≥0Rn be a homogeneous noetherian ring and let M be a finitely generated graded R-module. Let H R+(M) denote the i-th local cohomology module of M with respect to the irrelevant ideal R+ := ⊕n>0Rn of R. We show that if R0 is a domain, there is some s ∈ R0\{0} such that the (R0)s-modules H R+(M)s are torsion-free (or vanishing) for all i. On use of this, we can deduce the following resu...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2003.12.003