Conjectures in Arithmetic Algebraic Geometry: A Survey (Aspects of Mathematics, 18)

Hulsbergen Wilfred W., J.:

ISBN 10: 3528164336 / ISBN 13: 9783528164331

Published by Vieweg+Teubner Verlag, 1994

About this Item

Seiten; 9783528164331.4 Gewicht in Gramm: 1. Seller Inventory # 732137

Bibliographic Details

Title: Conjectures in Arithmetic Algebraic Geometry...

Publisher: Vieweg+Teubner Verlag

Publication Date: 1994

Binding: hardcover

Condition: Befriedigend

Edition: 2nd Edition

About this title

Synopsis:

This work was originally published in 1992. The main purpose of the book is to give an introduction to Beilinson's conjectures. Two chapters on classical number theory and elliptic curves introduce L-functions and regulators. Topics discussed include Fermat's conjecture, Dirichlet and Artin L-functions, L-functions of elliptic curves, the conjectures of Shimura-Taniyama-Weil, and of Birch and Swinnerton-Dyer. Later chapters deal with the general formulation of Beilinson's conjectures, and those of Hodge and Tate in Jannsen's approach. Also, the necessary tools - such as higher algebraic K-theroy, Poincare duality theories, Chern characters and motives - are treated in some detail. In the final chapter, a few examples are discussed of cases where some of the conjectures are verified.

About the Author:

Dr. Wilfried Hulsbergen is teaching at the KMA, Breda,Niederlande.