Arithmetic of diagonal hypersurfaces over finite fields [EBook] / Fernando Q. Gouvêa, Noriko Yui.
Arithmetic of diagonal hypersurfaces over finite fields [EBook] / Fernando Q. Gouvêa, Noriko Yui.
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, w...
Personal Name(s):  Gouvêa, Fernando Q., (author) 

Yui, Noriko, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1995

Physical Description: 
1 online resource (xi, 169 pages) 
Note: 
englisch 
ISBN: 
9780511526060 9780521498340 
Series Title: 
London Mathematical Society lecture note series ;
209 
Subject (LOC):  
Full Text 
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 LichtenbaumMilne formula for the central value of the Lfunction. 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 nonspecialists gain access to the results. 