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Książka Conjectures in Arithmetic Algebraic Geometry Wilfred W. J. Hulsbergen

Conjectures in Arithmetic Algebraic Geometry

A Survey

Autor: Wilfred W. J. Hulsbergen
Język: Angielski
Oprawa: Miękka
Wydawca: Vieweg+Teubner
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
291.39 zł
In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conje...

Informacje o książce

Autor
Wilfred W. J. Hulsbergen
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2013
strony
246
EAN
9783663095071
ISBN
366309507X
Enbook ID
05287646
Wydawca
Vieweg+Teubner
Waga
447
Wymiary
170 x 244 x 13

Pełny opis

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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