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Tight Closure and Its Applications
About this Title
Craig L. Huneke, Purdue University, West Lafayette, IN
Publication: CBMS Regional Conference Series in Mathematics
Publication Year:
1996; Volume 88
ISBNs: 978-0-8218-0412-4 (print); 978-1-4704-2448-0 (online)
DOI: https://doi.org/10.1090/cbms/088
MathSciNet review: MR1377268
MSC: Primary 13-02; Secondary 13A35, 13C14, 13H10
ReadershipTable of Contents
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Front/Back Matter
Chapters
- 1. Introduction
- 2. A prehistory of tight closure (Chapter 0)
- 3. Basic Notions (Chapter 1)
- 4. Test elements and the persistence of tight closure (Chapter 2)
- 5. Colon-capturing and direct summands of regular rings (Chapter 3)
- 6. F-Rational rings and rational singularities (Chapter 4)
- 7. Integral closure and tight closure (Chapter 5)
- 8. The Hilbert-Kunz multiplicity (Chapter 6)
- 9. Big Cohen-Macaulay algebras (Chapter 7)
- 10. Big Cohen-Macaulay algebras II (Chapter 8)
- 11. Applications of big Cohen-Macaulay algebras (Chapter 9)
- 12. Phantom homology (Chapter 10)
- 13. Uniform Artin-Rees theorems (Chapter 11)
- 14. The localization problem (Chapter 12)
- 15. Regular base change (Chapter 13)
- 16. The notion of tight closure in equal characteristic zero (Appendix 1)
- 17. Solutions to exercises (Appendix 2)