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

By Fernando Q. Gouvêa,Noriko Yui

there's now a wide physique of idea pertaining to algebraic forms over finite fields, and lots of conjectures exist during this region which are of serious curiosity to researchers in quantity idea and algebraic geometry. This e-book is worried with the mathematics of diagonal hypersurfaces over finite fields, with specific specialize in the Tate conjecture and the Lichtenbaum–Milne formulation for the relevant worth of the L-function. It combines theoretical and numerical paintings, and comprises tables of Picard numbers. even if this publication is geared toward specialists, the authors have incorporated a few history fabric to aid 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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