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arxiv: 1408.0858 · v2 · pith:MAIF7ACCnew · submitted 2014-08-05 · 🧮 math.AC

An extension of a theorem of Hartshorne

classification 🧮 math.AC
keywords hartshornelocalringtheoremanalyzingassociatedclassicalcomplex
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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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