Conjectures in Arithmetic Algebraic Geometry: a Survey - Aspects of Mathematics - Wilfred W. J. Hulsbergen - Grāmatas - Springer Fachmedien Wiesbaden - 9783663095071 - 2013. gada 3. oktobris
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Wilfred W. J. Hulsbergen
Conjectures in Arithmetic Algebraic Geometry: a Survey - Aspects of Mathematics 2nd Ed. 1994. Softcover Reprint of the Original 2n edition

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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.

246 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2013. gada 3. oktobris
ISBN13 9783663095071
Izdevēji Springer Fachmedien Wiesbaden
Lapas 246
Izmēri 244 × 172 × 18 mm   ·   412 g
Valoda Angļu   Vācu  

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