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Mixed Motives and their Realization in Derived Categories

  • Couverture cartonnée
  • 232 Nombre de pages
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The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph des... Lire la suite
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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.

Contenu

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.

Informations sur le produit

Titre: Mixed Motives and their Realization in Derived Categories
Auteur:
Code EAN: 9783540594758
ISBN: 3540594752
Format: Couverture cartonnée
nombre de pages: 232
Poids: 357g
Taille: H235mm x B155mm x T12mm
Année: 1995
Auflage: 1995

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