Arithmetic of Diagonal Hypersurfaces over Finite Fields

Fernando Q. Gouvêa, Noriko Yui (Autoren)

Buch | Softcover

184 Seiten

1995
Cambridge University Press (Verlag)
978-0-521-49834-0 (ISBN)

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This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.

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.

1. Twisted Jacobi sums; 2. Cohomology groups of n=nnm(c); 3. Twisted Fermat motives; 4. The inductive structure and the Hodge and Newton polygons; 5. Twisting and the Picard numbers n=nmn(c); 6. Brauer numbers associated to twisted Jacobi sums; 7. Evaluating the polynomials Q(n,T) at T=q-r; 8. The Lichtenbaum–Milne conjecture for n=nnm(c); 9. Observations and open problems.

Erscheint lt. Verlag	11.5.1995
Reihe/Serie	London Mathematical Society Lecture Note Series
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	151 x 228 mm
Gewicht	278 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-521-49834-1 / 0521498341
ISBN-13	978-0-521-49834-0 / 9780521498340
Zustand	Neuware