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Arithmetic of Diagonal Hypersurfaces over Finite Fields / Fernando Q. Gouvêa, Noriko Yui.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 209 | London Mathematical Society Lecture Note Series ; no. 209.Publisher: Cambridge : Cambridge University Press, 1995Description: 1 online resource (184 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511526060 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.3/53 20
LOC classification:
  • QA641  .G67 1995
Online resources: Summary: 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.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12155

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.

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The Institute of Mathematical Sciences, Chennai, India