Twisted L-functions and monodromy

Twisted L-functions and monodromy / by Nicholas M. Katz.

For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions w...

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Bibliographic Details
Main Author: Katz, Nicholas M., 1943-
Format: eBook
Language:English
Published: Princeton : Princeton University Press, 2002.
Series:Annals of mathematics studies ; no. 150.
Subjects:
L-functions.
Monodromy groups.
MATHEMATICS > Number Theory.
MATHEMATICS > Group Theory.
L-functions
Monodromy groups
L-functies.
Monodromie.
Online Access:Click for online access
Table of Contents:
  • Cover; Title Page; Copyright Page; Table of Contents; Introduction; Part I: Background Material; Appendix to Chapter 1: A Result of Zalesskii; Chapter 2: Lefschetz Pencils, Especially on Cur; Chapter 3: Induction; Chapter 4: Middle Convolution; Part II: Twist Sheaves, over an Algebraically Closed Field; Chapter 5: Twist Sheaves and Their Monodromy; Part III: Twist Sheaves, over a Finite Field; Chapter 6: Dependence on Parameters; Chapter 7: Diophantine Applications over a Finite Field; Chapter 8: Average Order of Zero in Twist Families.

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