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＜電子ブック＞
Mixed Motives and their Realization in Derived Categories / by Annette Huber
(Lecture Notes in Mathematics. ISSN:16179692 ; 1604)

版	1st ed. 1995.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1995
大きさ	XVI, 216 p : online resource
著者標目	*Huber, Annette author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:K-theory LCSH:Number theory FREE:Algebraic Geometry FREE:K-Theory FREE:Number Theory
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/BFb0095503

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