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130408s1995 enka ob 001 0 eng d |
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|a UAMI
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|a Gouvêa, Fernando Q.
|q (Fernando Quadros)
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|a Arithmetic of diagonal hypersurfaces over finite fields /
|c Fernando Q. Gouvêa, Noriko Yui.
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 1995.
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|a 1 online resource (xi, 169 pages) :
|b illustrations
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|a text
|b txt
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|a computer
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|a online resource
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|a London Mathematical Society lecture note series ;
|v 209
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|a Includes bibliographical references (pages 163-166) and index.
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|a 1. Twisted Jacobi sums -- 2. Cohomology groups of V = V[actual symbol not reproducible](c) -- 3. Twisted Fermat motives -- 4. The inductive structure and the Hodge and Newton polygons -- 5. Twisting and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q[superscript -r] -- 8. The Lichtenbaum-Milne conjecture -- 9. Remarks, observations and open problems -- B How to compute the stable Picard number when m is prime.
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|a 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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|a Print version record.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a Hypersurfaces.
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|a Finite fields (Algebra)
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|a Hypersurfaces.
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|a Corps finis.
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|a MATHEMATICS
|x Geometry
|x Algebraic.
|2 bisacsh
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|a Finite fields (Algebra)
|2 fast
|0 (OCoLC)fst00924905
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|a Hypersurfaces.
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|0 (OCoLC)fst00965830
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|a Galois-Feld
|2 gnd
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|a Hyperfläche
|2 gnd
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|a Hypervlakken.
|2 gtt
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|a Hypersurfaces.
|2 ram
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|a Corps finis.
|2 ram
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|a Yui, Noriko.
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|i Print version:
|a Gouvêa, Fernando Q. (Fernando Quadros).
|t Arithmetic of diagonal hypersurfaces over finite fields.
|d Cambridge ; New York : Cambridge University Press, 1995
|z 0521498341
|w (DLC) 94023790
|w (OCoLC)31518624
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|a London Mathematical Society lecture note series ;
|v 209.
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