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Test ideals and base change problems in tight closure theory.
- Source :
-
Transactions of the American Mathematical Society . Feb2003, Vol. 355 Issue 2, p619-636. 18p. - Publication Year :
- 2003
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *IDEALS (Algebra)
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 355
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 9495476
- Full Text :
- https://doi.org/10.1090/S0002-9947-02-03162-8