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Back to Commutative Algebra Seminar: Fall 2016

Commutative Algebra Seminar


Date: Friday, Nov 11, 2016

Time: 3:10PM - 4:00PM

Location: LCB 215


Ray Heitmann

University of Texas at Austin

Title

A question of Lyubeznik

Abstract

Hochster and Huneke proved that if R is an excellent local domain of charac- teristic p, then the absolute integral closure R+ of R is a big Cohen-Macaulay module. This result is certainly not true in characteristic zero or mixed characteristic. However, Gennady Lyubeznik suggested an analog which may work in mixed characteristic. He asked, “If P is the radical of pR+ , is R+/P a big Cohen-Macaulay module?” I will discuss some observations directed to answering this question.

Commutative Algebra

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