Katz Twisted L-Functions and Monodromy

Core Textbook
ISBN: 978-1-4008-2488-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 150, 264 Seiten

Reihe: Annals of Mathematics Studies

Nicholas M. Katz is Professor of Mathematics at Princeton University. He is the author of four other books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; and Rigid Local Systems.

Autoren/Hrsg.

Katz, Nicholas M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

FrontMatter, pg. i
Contents, pg. v
Introduction, pg. 3
Chapter 1: "Abstract" Theorems of Big Monodromy, pg. 23
Appendix to Chapter 1: A Result of Zalesskii, pg. 43
Chapter 2: Lefschetz Pencils, Especially on Curves, pg. 51
Chapter 3: Induction, pg. 71
Chapter 4: Middle Convolution, pg. 79
Chapter 5: Twist Sheaves and Their Monodromy, pg. 85
Chapter 6: Dependence on Parameters, pg. 117
Chapter 7: Diophantine Applications over a Finite Field, pg. 125
Chapter 8: Average Order of Zero in Twist Families, pg. 147
Chapter 9: Twisting by "Primes", and Working over Z, pg. 179
Chapter 10: Horizontal Results, pg. 207
References, pg. 235
Index, pg. 241

Über Autor(innen)

Nicholas M. Katz is Professor of Mathematics at Princeton University. He is the author of four other books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; and Rigid Local Systems.