An extension of a theorem of Hartshorne
Katzman, M.; Lyubeznik, G.; Zhang, W.
Proceedings of the American Mathematical Society 144(3): 955-962
ISSN/ISBN: 0002-9939 Accession: 081728815
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.