Lectures on N_X (p) /

This book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of...

Full description

Bibliographic Details
Main Author:	Serre, Jean-Pierre, 1926 (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, Fla. : CRC Press, 2012.
Series:	Research notes in mathematics ; Volume 11
Subjects:	Polynomials. Representations of groups. Number theory. Cohomology operations. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

chapter 1. Introduction
chapter 2. Examples
chapter 3. The Chebotarev density theorem for a number field
chapter 4. Review of l-adic cohomology
chapter 5. Auxiliary results on group representations
chapter 6. The l-adic properties of N_X(p)
chapter 7. The archimedean properties of N_X(p)
chapter 8. The Sato-Tate conjecture
chapter 9. Higher dimension : the prime number theorem and the Chebotarev theorem.