Mixed Motives and Algebraic K-Theory

Mixed Motives and Algebraic K-Theory
Author :
Publisher : Springer
Total Pages : 260
Release :
ISBN-10 : 9783540469414
ISBN-13 : 3540469419
Rating : 4/5 (419 Downloads)

Book Synopsis Mixed Motives and Algebraic K-Theory by : Uwe Jannsen

Download or read book Mixed Motives and Algebraic K-Theory written by Uwe Jannsen and published by Springer. This book was released on 2006-11-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.


Mixed Motives and Algebraic K-Theory Related Books

Mixed Motives and Algebraic K-Theory
Language: en
Pages: 268
Authors: Uwe Jannsen
Categories: Mathematics
Type: BOOK - Published: 1990-02-07 - Publisher: Lecture Notes in Mathematics

GET EBOOK

The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of i
Mixed Motives and Algebraic K-Theory
Language: en
Pages: 260
Authors: Uwe Jannsen
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

GET EBOOK

The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of i
Triangulated Categories of Mixed Motives
Language: en
Pages: 442
Authors: Denis-Charles Cisinski
Categories: Mathematics
Type: BOOK - Published: 2019-11-09 - Publisher: Springer Nature

GET EBOOK

The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of A1-homotopy and motivic complexes
Algebraic K-Theory and Algebraic Topology
Language: en
Pages: 327
Authors: P.G. Goerss
Categories: Mathematics
Type: BOOK - Published: 1993-07-31 - Publisher: Springer

GET EBOOK

A NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December
Mixed Motives
Language: ja
Pages: 529
Authors: Marc Levine
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

GET EBOOK

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for