Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz.
The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry,...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1988 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
116 |
| Online Access: | |
| Physical Description: | 1 online resource (256 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Introduction
- CHAPTER 1. Breaks and Swan Conductors
- CHAPTER 2. Curves and Their Cohomology
- CHAPTER 3. Equidistribution in Equal Characteristic
- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves
- CHAPTER 5. Convolution of Sheaves on Gm
- CHAPTER 6. Local Convolution
- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study
- CHAPTER 8. Complements on Convolution
- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums
- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves
- CHAPTER 11. Global Monodromy of Kloosterman Sheaves
- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber)
- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums
- References