An elementary proof of Grothendieck's Non-vanishing Theorem
Commutative Algebra
2008-06-18 v2 Algebraic Geometry
Abstract
We give an elementary proof of Grothendieck's non-vanishing Theorem: For a finitely generated non-zero module over a Noetherian local ring with maximal ideal , the local cohomology module is non-zero.
Keywords
Cite
@article{arxiv.0710.5863,
title = {An elementary proof of Grothendieck's Non-vanishing Theorem},
author = {Tony J. Puthenpurakal},
journal= {arXiv preprint arXiv:0710.5863},
year = {2008}
}
Comments
Title & abstract changed, some minor changes in the main body of the paper, 3 pages, To appear in Communications in Algebra