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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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Previews available in: English
Subjects
Finite fields (Algebra), HypersurfacesShowing 1 featured edition. View all 1 editions?
Edition | Availability |
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1
Arithmetic of diagonal hypersurfaces over finite fields
1995, Cambridge University Press
in English
0521498341 9780521498340
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Edition Notes
Includes bibliuographical references (p. 163-166) and index.
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