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

Conjectures in Arithmetic Algebraic Geometry

A Survey

Autor: Wilfred W. J. Hulsbergen
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Vieweg+Teubner
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 700 Kč
In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conje...

Informace o knize

Autor
Wilfred W. J. Hulsbergen
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2013
Stránek
246
EAN
9783663095071
ISBN
366309507X
Enbook ID
05287646
Vydavatel
Vieweg+Teubner
Hmotnost
447
Rozměry
170 x 244 x 13

Kompletní popis

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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