Introduction

Nicholas M. Katz; Pham Huu Tiep

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Introduction

Nicholas M. Katz und Pham Huu Tiep

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Ein Kapitel aus dem Buch Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

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Katz, Nicholas M. and Tiep, Pham Huu. "Introduction". Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups, Princeton: Princeton University Press, 2025, pp. 1-6. https://doi.org/10.1515/9780691272245-001

Katz, N. & Tiep, P. (2025). Introduction. In Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups (pp. 1-6). Princeton: Princeton University Press. https://doi.org/10.1515/9780691272245-001

Katz, N. and Tiep, P. 2025. Introduction. Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups. Princeton: Princeton University Press, pp. 1-6. https://doi.org/10.1515/9780691272245-001

Katz, Nicholas M. and Tiep, Pham Huu. "Introduction" In Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups, 1-6. Princeton: Princeton University Press, 2025. https://doi.org/10.1515/9780691272245-001

Katz N, Tiep P. Introduction. In: Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups. Princeton: Princeton University Press; 2025. p.1-6. https://doi.org/10.1515/9780691272245-001

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Kapitel in diesem Buch

Frontmatter i
Contents vii
Introduction 1
CHAPTER 1 The basic (S-), (S), and (S+) settings 7
CHAPTER 2 Some basic facts about monodromy groups 33
CHAPTER 3 Representations of reductive groups containing elements with special spectra 65
CHAPTER 4 Hypergeometric sheaves with wild part of dimension one 103
CHAPTER 5 Tensor induced local systems 115
CHAPTER 6 (Non-)existence results 145
CHAPTER 7 Extraspecial normalizers and local systems in odd characteristic 205
CHAPTER 8 Extraspecial normalizers and local systems in characteristic 2 241
CHAPTER 9 Two further kinds of local system in characteristic 2 313
CHAPTER 10 One-parameter families of exponential sums 369
CHAPTER 11 Multi-parameter families of exponential sums 453
CHAPTER 12 Local systems with non-monomial coefficients 485
Appendices 561
Acknowledgements 563
Bibliography 565
Symbols 575
Index 579

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https://doi.org/10.1515/9780691272245-001

Kapitel in diesem Buch

Frontmatter i
Contents vii
Introduction 1
CHAPTER 1 The basic (S-), (S), and (S+) settings 7
CHAPTER 2 Some basic facts about monodromy groups 33
CHAPTER 3 Representations of reductive groups containing elements with special spectra 65
CHAPTER 4 Hypergeometric sheaves with wild part of dimension one 103
CHAPTER 5 Tensor induced local systems 115
CHAPTER 6 (Non-)existence results 145
CHAPTER 7 Extraspecial normalizers and local systems in odd characteristic 205
CHAPTER 8 Extraspecial normalizers and local systems in characteristic 2 241
CHAPTER 9 Two further kinds of local system in characteristic 2 313
CHAPTER 10 One-parameter families of exponential sums 369
CHAPTER 11 Multi-parameter families of exponential sums 453
CHAPTER 12 Local systems with non-monomial coefficients 485
Appendices 561
Acknowledgements 563
Bibliography 565
Symbols 575
Index 579

Introduction

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