On Some Local Cohomology Modules
نویسنده
چکیده
All rings in this paper are commutative and Noetherian. If R is a ring and I ⊂ R is an ideal, cd(R, I) denotes the cohomological dimension of I in R, i.e. the largest integer i such that the i-th local cohomology module H i I(M) doesn’t vanish for some R-module M . For the purposes of this introduction R is a complete equicharacteristic regular local d-dimensional ring with a separably closed residue field and I ⊂ R is an ideal such that every minimal prime over I has height at most c. We quote the following two results.
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