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

by Fernando Q Gouvea and Nobuhiko Yui

N. J. Hitchin

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Book cover for Arithmetic of Diagonal Hypersurfaces over Finite Fields

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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.
  • ISBN13 9780521498340
  • Publish Date 11 May 1995
  • Publish Status Active
  • Out of Print 6 June 2022
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Paperback (US Trade)
  • Pages 184
  • Language English