Mixed Motives and Their Realization in Derived Categories
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 a...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1604 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mixed motives and their realization in derived categories, Annette Huber, 1995, Berlin, Springer-Verlag, 1 volume (XV-207 pages), Lecture notes in mathematics, 3-540-59475-2 • Mixed Motives and their Realization in Derived Categories, Texte imprimé, 9783662165416 |
Tabla de Contenidos:
- 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.