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Other titles in the London Mathematical Society Lecture Notes series:

Arithmetic of Diagonal Hypersurfaces Over Finite Fields (London Mathematical Society Lecture Note)

by

Arithmetic of Diagonal Hypersurfaces Over Finite Fields (London Mathematical Society Lecture Note) Cover

 

Synopses & Reviews

Publisher Comments:

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to researchers in number theory and algebraic geometry. This book deals with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain access to the results.

Synopsis:

Focusing on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function, this book is about the arithmetic of diagonal hypersurfaces over finite fields. It combines theoretical and numerical work and includes tables of Picard numbers.

Synopsis:

This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.

Description:

Includes bibliuographical references (p. 163-166) and index.

Table of Contents

1. Twisted Jacobi sums; 2. Cohomology groups of n=nnm(c); 3. Twisted Fermat motives; 4. The inductive structure and the Hodge and Newton polygons; 5. Twisting and the Picard numbers n=nmn(c); 6. Brauer numbers associated to twisted Jacobi sums; 7. Evaluating the polynomials Q(n,T) at T=q-r; 8. The Lichtenbaum-Milne conjecture for n=nnm(c); 9. Observations and open problems.

Product Details

ISBN:
9780521498340
Editor:
Gouvea, Fernando Q.
Editor:
Yui, Noriko
Editor:
Gouvea, Fernando Q.
Editor:
Yui, Noriko
Author:
Fernando Q. Gouv
Author:
Cassels, J. W. S.
Author:
Gouv
Author:
A
Author:
a, Fernando Q.
Author:
Gouvea, Fernando Q.
Author:
E
Author:
Yui, Noriko
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
General
Subject:
Number Theory
Subject:
Geometry - Algebraic
Subject:
Finite fields (algebra)
Subject:
Hypersurfaces.
Subject:
Finite fields
Subject:
Mathematics-Algebraic Geometry
Edition Description:
Trade paper
Series:
London Mathematical Society lecture note series ;
Series Volume:
no. 93-12209
Publication Date:
20050431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
184
Dimensions:
9.04x6.03x.47 in. .60 lbs.

Related Subjects

Languages » ESL » General
Reference » Science Reference » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Number Theory

Arithmetic of Diagonal Hypersurfaces Over Finite Fields (London Mathematical Society Lecture Note) New Trade Paper
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$68.25 In Stock
Product details 184 pages Cambridge University Press - English 9780521498340 Reviews:
"Synopsis" by , Focusing on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function, this book is about the arithmetic of diagonal hypersurfaces over finite fields. It combines theoretical and numerical work and includes tables of Picard numbers.
"Synopsis" by , This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
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