An extension of a theorem of Hartshorne

Mordechai Katzman; Gennady Lyubeznik; Wenliang Zhang

doi:10.1090/proc12771

An extension of a theorem of Hartshorne

Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	955-962
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	3
DOIs	https://doi.org/10.1090/proc12771
State	Published - Mar 2016

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© 2015 American Mathematical Society.

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An extension of a theorem of Hartshorne

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