Conjectures in Arithmetic Algebraic Geometry: A Survey: v.E18 (Aspects of Mathematics) - Hardcover

Hulsbergen, Wilfred W. J.

Hardcover

ISBN 10: 3528164336 ISBN 13: 9783528164331

Publisher: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1994

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 this title

About the Author

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

Edition details

• Publisher: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
• Publication date: 1994
• ISBN 10: 3528164336
• ISBN 13: 9783528164331
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 254