Mixed Motives and Algebraic K-Theory (Lecture Notes in Mathematics, 1400, Band 1400) - Softcover

Jannsen, Uwe

 
9783540522607: Mixed Motives and Algebraic K-Theory (Lecture Notes in Mathematics, 1400, Band 1400)
Softcover
ISBN 10: 3540522603 ISBN 13: 9783540522607
Verlag: Springer, 2009

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540522603
ISBN 13 
9783540522607
Einband
Taschenbuch
Anzahl der Seiten
264
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