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Conjectures in Arithmetic Algebraic Geometry

Conjectures in Arithmetic Algebraic Geometry

Wilfred W. J. Hulsbergen

84,90 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
Materia
Ingeniería: general
ISBN:
9783663095071
84,90 €
IVA incluido
Disponible

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Sobre IBD

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.

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