Cover of Annette Huber: Mixed Motives and their Realization in Derived Categories

Annette Huber Mixed Motives and their Realization in Derived Categories

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Springer Berlin Heidelberg

2006

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978-3-540-49274-0

3-540-49274-7

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The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied.The book assumes knowledge of the standard cohomological techniques in algebraic geometry as well as K-theory. So the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature.

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