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Spring 2007 Homological conjectures, old and new
Melvin Hochster
Illinois J. Math. 51(1): 151-169 (Spring 2007). DOI: 10.1215/ijm/1258735330

Abstract

We discuss a number of the local homological conjectures, many of which are now theorems in equal characteristic and conjectures in mixed characteristic. One focus is the syzygy theorem of Evans and Griffith, and its connection with the direct summand conjecture, the existence of big Cohen-Macaulay modules and algebras, and tight closure theory.

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Melvin Hochster. "Homological conjectures, old and new." Illinois J. Math. 51 (1) 151 - 169, Spring 2007. https://doi.org/10.1215/ijm/1258735330

Information

Published: Spring 2007
First available in Project Euclid: 20 November 2009

zbMATH: 1127.13010
MathSciNet: MR2346192
Digital Object Identifier: 10.1215/ijm/1258735330

Subjects:
Primary: 13D22
Secondary: 13A35, 13D45

Rights: Copyright © 2007 University of Illinois at Urbana-Champaign

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Vol.51 • No. 1 • Spring 2007
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