Abstract
Let (R,m) be a commutative Noetherian regular local ring of dimension d and I be a proper ideal of R such that mAss R (R/I) = Assh R (I). It is shown that the R- module Hht(I) I (R) is I-cofinite if and only if cd(I,R) = ht(I). Also we present a sufficient condition under which this condition the R-module H i I (R) is finitely generated if and only if it vanishes.
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A’zami, J., Pourreza, N. Cofiniteness and finiteness of local cohomology modules over regular local rings. Czech Math J 67, 733–740 (2017). https://doi.org/10.21136/CMJ.2017.0116-16
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DOI: https://doi.org/10.21136/CMJ.2017.0116-16