✦ LIBER ✦

On the Behavior of F-Rational Rings under Flat Base Change

✍ Scribed by Florian Enescu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 159 KB
Volume: 233
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8430

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✦ Synopsis

We examine the behavior of F-rationality under flat homomorphisms with geometrically F-rational fibres. The goal is to prove that if R ª S is a homomorphism with geometrically F-rational fibres and R is an F-rational ring, then S is an F-rational ring. We prove a stronger version of this under a mild condition and introduce a new perspective for dealing with flat base change problems in tight closure theory.

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