Mixed motives and their realization in derived categories / / Annette Huber

• Autore: Huber Annette
• 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
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 1604.