rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Mixed motives and their realization in derived categories
  name:
    name part: Huber, Annette.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 207 pages) : illustrations.
  abstract: 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.
  table of contents: 1. Basic Notions -- 2. Derived Categories of Exact Categories -- 3. Filtered Derived Categories -- 4. Gluing of Categories -- 5. Godement Resolutions -- 6. Singular Cohomology -- 7. De Rham Cohomology -- 8. Hodge Realization -- 9. l-adic Cohomology -- 10. Comparison Functors: l-adic vs. Singular -- 11. The Mixed Realization -- 12. The Tate Twist -- 13. [actual symbol not reproducible] and Internal Hom on D[subscript MR] -- 14. The Kunneth Morphism -- 15. The Bloch-Ogus Axioms -- 16. The Chern Class of a Line Bundle -- 17. Classifying Spaces -- 18. Higher Chern classes -- 19. Operations of Correspondences -- 20. Grothendieck Motives -- 21. Polarizability -- 22. Mixed Motives.
  note: Annette Huber.
  note: Electronic resource.
  note: Includes bibliographical references (pages [197]-201) and index.
  subject:
    topic: Motives (Mathematics)
  subject:
    topic: Homology theory
  subject:
    topic: Motifs (Mathématiques)
  subject:
    topic: Homologie
  subject:
    topic: Homology theory
  subject:
    topic: Motives (Mathematics)
  subject:
    topic: Cohomologie
  classification: QA3 .L28 no. 1604
  classification: QA564
  classification: 510 s 516.3/5
  classification: 31.51
  related item:
    title info:
      title: Mixed motives and their realization in derived categories
    name:
      name part: Huber, Annette.
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, 1995
    identifier: (DLC) 95020215
    identifier: (OCoLC)32589874
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1604
  identifier: 9783540492740 (electronic bk.)
  identifier: 3540492747 (electronic bk.)
  identifier: 9783540594758
  identifier: 3540594752
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 090118
    record change date: 20260422201229.2
    record identifier: in00003505549
    language of cataloging:
      language term: eng