Tight closure and its applications /
Craig Huneke.
- Providence ; Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1996.
- ix, 137 p. ; 26 cm.
- Regional conference series in mathematics, no. 88 .
Chapter 1. Basic Notions; Chapter 2. Test Elements and the Persistence of Tight Closure; Chapter 3. Colon-Capturing and Direct Summands of Regular Rings; Chapter 4. F-Rational Rings and Rational Singularities; Chapter 5. Integral Closure and Tight Closure; Chapter 6. The Hilbert-Kunz Multiplicity; Chapter 7. Big Cohen-Macaulay Algebras; Chapter 8. Big Cohen-Macaulay Algebras II; Chapter 9. Applications of Big Cohen-Macaulay Algebras; Chapter 10. Phantom Homology. Chapter 11. Uniform Artin-Rees TheoremsChapter 12. The Localization Problem; Chapter 13. Regular Base Change; Appendix 1: The Notion of Tight Closure in Equal Characterist Zero