An extension of a theorem of Hartshorne

Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang

doi:10.1090/proc12771

An extension of a theorem of Hartshorne
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by Mordechai Katzman, Gennady Lyubeznik and Wenliang Zhang PDF

Proc. Amer. Math. Soc. 144 (2016), 955-962 Request permission

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.

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