Read e-book online Arithmetic of Diagonal Hypersurfaces over Finite Fields PDF

By Fernando Q. Gouvêa,Noriko Yui

ISBN-10: 0521498341

ISBN-13: 9780521498340

there's now a wide physique of conception touching on algebraic forms over finite fields, and lots of conjectures exist during this quarter which are of serious curiosity to researchers in quantity concept and algebraic geometry. This booklet is anxious with the mathematics of diagonal hypersurfaces over finite fields, with unique specialize in the Tate conjecture and the Lichtenbaum–Milne formulation for the critical worth of the L-function. It combines theoretical and numerical paintings, and contains tables of Picard numbers. even supposing this booklet is geared toward specialists, the authors have integrated a few heritage fabric to assist non-specialists achieve entry to the results.

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Arithmetic of Diagonal Hypersurfaces over Finite Fields (London Mathematical Society Lecture Note Series) by Fernando Q. Gouvêa,Noriko Yui

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