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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