Published January 1, 2018
| Version v1
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ON THE MATLIS DUALS OF LOCAL COHOMOLOGY MODULES
Creators
- 1. Univ Minnesota, Dept Math, 127 Vincent Hall,206 Church St, Minneapolis, MN 55455 USA
- 2. Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey
Description
Let (R, m) be a Noetherian regular local ring of characteristic p > 0 and let I be a nonzero ideal of R. Let D(-) = Hom(R)(-, E) be the Matlis dual functor, where E = E-R(R/m) is the injective hull of the residue field R/m. In this short note, we prove that if H-I(i) (R) not equal 0, then Supp(R)(D(H-I(i) (R))) = Spec(R).
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