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CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves

  • Nicholas M. Katz
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
This chapter is in the book Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
© 2016 Princeton University Press, Princeton

© 2016 Princeton University Press, Princeton

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Introduction 1
  4. CHAPTER 1. Breaks and Swan Conductors 12
  5. CHAPTER 2. Curves and Their Cohomology 26
  6. CHAPTER 3. Equidistribution in Equal Characteristic 36
  7. CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves 46
  8. CHAPTER 5. Convolution of Sheaves on Gm 62
  9. CHAPTER 6. Local Convolution 87
  10. CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study 96
  11. CHAPTER 8. Complements on Convolution 120
  12. CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums 155
  13. CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves 168
  14. CHAPTER 11. Global Monodromy of Kloosterman Sheaves 176
  15. CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d’après O. Gabber) 210
  16. CHAPTER 13. Equidistribution of “Angles” of Kloosterman Sums 234
  17. References 243
https://doi.org/10.1515/9781400882120-005

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Introduction 1
  4. CHAPTER 1. Breaks and Swan Conductors 12
  5. CHAPTER 2. Curves and Their Cohomology 26
  6. CHAPTER 3. Equidistribution in Equal Characteristic 36
  7. CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves 46
  8. CHAPTER 5. Convolution of Sheaves on Gm 62
  9. CHAPTER 6. Local Convolution 87
  10. CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study 96
  11. CHAPTER 8. Complements on Convolution 120
  12. CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums 155
  13. CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves 168
  14. CHAPTER 11. Global Monodromy of Kloosterman Sheaves 176
  15. CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d’après O. Gabber) 210
  16. CHAPTER 13. Equidistribution of “Angles” of Kloosterman Sums 234
  17. References 243
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