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Mathematical Sciences Research Institute

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Seminar

Connectedness Theorems (COMMA) May 17, 2013 (11:30AM PDT - 12:15PM PDT)
Parent Program: Commutative Algebra
Location: MSRI: Simons Auditorium
Speaker(s) Wenliang Zhang (University of Nebraska)
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Hartshorne's Connectedness Theorem asserts that, if a local ring (R,m) has depth at least 2, then Spec(R)\{m} is connected. On the other hand, Faltings' Connectedness Theorem says, if an ideal I of a d-dimensional complete local domain (R,m) can be generated by d-2 elements, then Spec(R/I)\{m} is connected.

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