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Autore: | Huber Annette |
Titolo: | Mixed motives and their realization in derived categories / / Annette Huber |
Pubblicazione: | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1995] |
©1995 | |
Edizione: | 1st ed. 1995. |
Descrizione fisica: | 1 online resource (XVI, 216 p.) |
Disciplina: | 516.35 |
Soggetto topico: | Motives (Mathematics) |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Mixed motives and their realization in derived categories |
ISBN: | 3-540-49274-7 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466669603316 |
Lo trovi qui: | Univ. di Salerno |
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