Conjectures in Arithmetic Algebraic Geometry is popular PDF and ePub book, written by Wilfred W. J. Hulsbergen in 2013-06-29, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Conjectures in Arithmetic Algebraic Geometry can be Read Online from any device for your convenience.
Conjectures in Arithmetic Algebraic Geometry Book PDF Summary
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.
Detail Book of Conjectures in Arithmetic Algebraic Geometry PDF
- Author : Wilfred W. J. Hulsbergen
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783663095057
- Genre : Technology & Engineering
- Total Page : 247 pages
- Language : English
- PDF File Size : 8,5 Mb
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