LMS: 209 Arithmetic Diagnol Hypersf

LMS: 209 Arithmetic Diagnol Hypersf book cover

LMS: 209 Arithmetic Diagnol Hypersf

Author(s): Fernando Q. Gouv¿a (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Edition: 1st
  • Language: English
  • Print length: 184 pages
  • ISBN-10: 0521498341
  • ISBN-13: 9780521498340

Book Description

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned 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 non-specialists gain access to the results.

Editorial Reviews

Book Description

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

From the Back Cover

There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned 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 non-specialists gain access to the results.

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