Conjectures in Arithmetic Algebraic Geometry - A Survey (Paperback, 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994)

In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.

General

Imprint:	Vieweg+teubner Verlag
Country of origin:	Germany
Series:	Aspects of Mathematics, 18
Release date:	October 2013
First published:	1994
Authors:	Wilfred W.J. Hulsbergen
Dimensions:	244 x 170 x 18mm (L x W x T)
Format:	Paperback
Pages:	246
Edition:	2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994
ISBN-13:	978-3-663-09507-1
Languages:	English
Subtitles:	German
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	3-663-09507-X
Barcode:	9783663095071

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