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  3. Arithmetic of Diagonal Hypersurfaces over Finite Fields
  • Cited by 6
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1995
Online ISBN:
9780511526060
DOI:
https://doi.org/10.1017/CBO9780511526060
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Number Theory
Series:
London Mathematical Society Lecture Note Series (209)
Information

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.

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