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Mixed motives and their realization in derived categories

Author: Annette Huber
Publisher: Berlin [u.a.] : Springer, 1995.
Series: Lecture notes in mathematics, 1604.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

The conjectual theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. This text describes the approach to motives via their well-defined realizations, which  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Annette Huber
ISBN: 3540594752 9783540594758 0387594752 9780387594750
OCLC Number: 246273218
Description: XV, 207 S.
Contents: 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 Kunneth 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.
Series Title: Lecture notes in mathematics, 1604.
Responsibility: Annette Huber.
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