Test ideals and flat base change problems in tight closure theory

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Test ideals and flat base change problems in tight closure theory

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10596

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Title: Test ideals and flat base change problems in tight closure theory
Author: Aberbach, Ian M.; Enescu, Florian
Keywords: flat local homomorphisms
Date: 2002-10-17
Abstract: Test ideals are an important concept in tight closure theory and their behavior via flat base change can be very difficult to understand. Our paper presents results regarding this behavior under flat maps with reasonably nice (but far from smooth) fibers. This involves analyzing, in depth, a special type of ideal of test elements, called the CS test ideal. Besides providing new results, the paper also contains extensions of a theorem by G. Lyubeznik and K. E. Smith on the completely stable test ideal and of theorems by F. Enescu and, independently, M. Hashimoto on the behavior of F-rationality under flat base change.
URI: http://hdl.handle.net/10355/10596

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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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