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140122 ||| eng |
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|a 9783540492740
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|a Huber, Annette
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|a Mixed Motives and their Realization in Derived Categories
|h Elektronische Ressource
|c by Annette Huber
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| 250 |
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|a 1st ed. 1995
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1995, 1995
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| 300 |
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|a XVI, 216 p
|b online resource
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|a Basic notions -- Derived categories of exact categories -- Filtered derived categories -- Gluing of categories -- Godement resolutions -- Singular cohomology -- De Rham cohomology -- Hodge realization -- 1-adic cohomology -- Comparison functors: 1-adic versus singular realization -- The mixed realization -- The tate twist -- ?-product and internal hom on D MR -- The Künneth morphism -- The Bloch-Ogus axioms -- The Chern class of a line bundle -- Classifying spaces -- Higher Chern classes -- Operations of correspondences -- Grothendieck motives -- Polarizability -- Mixed motives
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| 653 |
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|a K-Theory
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| 653 |
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|a Number theory
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| 653 |
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|a Algebraic Geometry
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| 653 |
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|a Number Theory
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| 653 |
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|a Algebraic geometry
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| 653 |
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|a K-theory
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Lecture Notes in Mathematics
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|a 10.1007/BFb0095503
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| 856 |
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|u https://doi.org/10.1007/BFb0095503?nosfx=y
|x Verlag
|3 Volltext
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|a 516.35
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| 520 |
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|a 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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