A note on weakly proregular sequences and local cohomology

Publication date: 17 May 2021

Abstract: In this note, we give an elementary proof of the result given by Schenzel that there are functorial isomorphisms between local cohomology groups and v{C}ech cohomology groups, by using weakly proregular sequences. In [Sch03], he used notions of derived category theory in his proof, but we do not use them in this paper.

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

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