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Mixed motives and their realization in derived categories
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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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Mixed motives and their realization in derived categories, Annette Huber
- Language
- Released
- 1995
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- Title
- Mixed motives and their realization in derived categories
- Language
- German
- Authors
- Annette Huber
- Publisher
- Springer
- Released
- 1995
- ISBN10
- 3540594752
- ISBN13
- 9783540594758
- Series
- Lecture notes in mathematics
- Category
- Mathematics
- Description
- 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.