Displaying similar documents to “A survey on local cohomology and 𝓓-modules”

Relative Buchsbaumness of bigraded modules

Keivan Borna, Ahad Rahimi, Syrous Rasoulyar (2012)

Colloquium Mathematicae

Similarity:

We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.

Local cohomology multiplicities in terms of étale cohomology

Manuel Blickle, Raphaël Bondu (2005)

Annales de l'institut Fourier

Similarity:

Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with 𝐙 / p 𝐙 coefficients.

Cofiniteness of generalized local cohomology modules

Kamran Divaani-Aazar, Reza Sazeedeh (2004)

Colloquium Mathematicae

Similarity:

Let denote an ideal of a commutative Noetherian ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that if either is principal, or R is complete local and is a prime ideal with dim R/ = 1, then the generalized local cohomology module H i ( M , N ) is -cofinite for all i ≥ 0. This provides an affirmative answer to a question proposed in [13].

Adic-completion and some dual homological results.

Anne-Marie Simon (1992)

Publicacions Matemàtiques

Similarity:

Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Ui a of the a-adic completion functor, called local homology functors, and the local cohomology functors Ha i. Some dual results are obtained for these Ui a, and also inequalities involving both local homology...