Twisted L-functions and monodromy /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Katz, Nicholas M., 1943-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2002.
Colección:Annals of mathematics studies ; no. 150.
Temas:
L-functions.
Monodromy groups.
Fonctions L.
Groupes de monodromie.
MATHEMATICS > Number Theory.
MATHEMATICS > Group Theory.
L-functions
Monodromy groups
L-functies.
Monodromie.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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