English

A note on weakly proregular sequences and local cohomology

Commutative Algebra 2022-04-07 v2

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.

Keywords

Cite

@article{arxiv.2105.07652,
  title  = {A note on weakly proregular sequences and local cohomology},
  author = {Ryoya Ando},
  journal= {arXiv preprint arXiv:2105.07652},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-24T02:10:06.280Z