By Fernando Q. Gouvêa,Noriko Yui

there's now a wide physique of concept relating algebraic kinds over finite fields, and lots of conjectures exist during this zone which are of serious curiosity to researchers in quantity concept and algebraic geometry. This e-book is anxious with the mathematics of diagonal hypersurfaces over finite fields, with particular specialise in the Tate conjecture and the Lichtenbaum–Milne formulation for the imperative worth of the L-function. It combines theoretical and numerical paintings, and contains tables of Picard numbers. even if this booklet is aimed toward specialists, the authors have incorporated a few history fabric to assist non-specialists achieve entry to the results.

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Arithmetic of Diagonal Hypersurfaces over Finite Fields by Fernando Q. Gouvêa,Noriko Yui
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