CHAPTER 11 Multi-parameter families of exponential sums

Nicholas M. Katz; Pham Huu Tiep

This publication is presented to you through Paradigm Publishing Services

Princeton University Press

Visit our Partner Page See all our books

Home Princeton University Press CHAPTER 11 Multi-parameter families of exponential sums

Chapter

Licensed

Unlicensed Requires Authentication

CHAPTER 11 Multi-parameter families of exponential sums

Nicholas M. Katz and Pham Huu Tiep

MLA
APA
Harvard
Chicago
Vancouver

MLA
APA
Harvard
Chicago
Vancouver

Katz, Nicholas M. and Tiep, Pham Huu. "CHAPTER 11 Multi-parameter families of exponential sums". Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups, Princeton: Princeton University Press, 2025, pp. 453-484. https://doi.org/10.1515/9780691272245-012

Katz, N. & Tiep, P. (2025). CHAPTER 11 Multi-parameter families of exponential sums. In Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups (pp. 453-484). Princeton: Princeton University Press. https://doi.org/10.1515/9780691272245-012

Katz, N. and Tiep, P. 2025. CHAPTER 11 Multi-parameter families of exponential sums. Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups. Princeton: Princeton University Press, pp. 453-484. https://doi.org/10.1515/9780691272245-012

Katz, Nicholas M. and Tiep, Pham Huu. "CHAPTER 11 Multi-parameter families of exponential sums" In Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups, 453-484. Princeton: Princeton University Press, 2025. https://doi.org/10.1515/9780691272245-012

Katz N, Tiep P. CHAPTER 11 Multi-parameter families of exponential sums. In: Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups. Princeton: Princeton University Press; 2025. p.453-484. https://doi.org/10.1515/9780691272245-012

Copy

Copied to clipboard

BibTeX EndNote RIS

You are currently not able to access this content.

Chapters in this book

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

This chapter is in the book Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

Published by

Visit our Partner Page See all our Titles

Search book Search the content of this book

https://doi.org/10.1515/9780691272245-012

Chapters in this book

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

Princeton University Press

CHAPTER 11 Multi-parameter families of exponential sums

Chapter PDF View

Chapters in this book

Chapters in this book

Chapters in this book