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Gouvêa, Fernando Q.,

Arithmetic of Diagonal Hypersurfaces over Finite Fields / Fernando Q. Gouvêa, Noriko Yui. - Cambridge : Cambridge University Press, 1995. - 1 online resource (184 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 209 . - London Mathematical Society Lecture Note Series ; no. 209. .

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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.

ISBN: 9780511526060 (ebook)

Subjects--Topical Terms:
Hypersurfaces
Finite fields (Algebra)

LC Class. No.: QA641 / .G67 1995

Dewey Class. No.: 516.3/53