An extension of a theorem of Hartshorne
Commutative Algebra
2014-10-09 v2
Abstract
We extend a classical theorem of Hartshorne concerning the connectedness of the punctured spectrum of a local ring by analyzing the homology groups of a simplicial complex associated with the minimal primes of a local ring.
Keywords
Cite
@article{arxiv.1408.0858,
title = {An extension of a theorem of Hartshorne},
author = {Mordechai Katzman and Gennady Lyubeznik and Wenliang Zhang},
journal= {arXiv preprint arXiv:1408.0858},
year = {2014}
}
Comments
Results on Stanley-Reisner rings have been added. Comments welcome!