Tight Closure’s Failure to Localize - a Self-Contained Exposition

Paul Monsky ()
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Paul Monsky: Brandeis University

A chapter in Commutative Algebra, 2013, pp 593-607 from Springer

Abstract: Abstract Brenner and Monsky have given a negative solution to the localization problem for tight closure. Here I give a treatment of our counterexample that uses only linear algebra, material from an introductory abstract algebra course, and a little local cohomology developed ab initio. But most of this machinery, useful as it is for understanding the counterexample, may be dispensed with; in this paper the author gives a treatment of the example, using only linear algebra, material from an introductory abstract algebra course, and a little local cohomology developed ab initio.

Keywords: Tight Closure; Self-contained Exposition; Abstract Algebra Course; Local Cohomology; Hilbert-Kunz Multiplicity (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5292-8_19

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DOI: 10.1007/978-1-4614-5292-8_19

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