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...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| মালা: | Lecture notes in mathematics
1604 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
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 |
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| 100 | 1 | |a Huber, Annette. | |
| 245 | 1 | 0 | |a Mixed Motives and Their Realization in Derived Categories |c Annette Huber. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1604 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a K-théorie | ||
| 650 | |a Motifs (mathématiques) | ||
| 650 | |a Homologie | ||
| 776 | 0 | |0 02380498X |t Mixed motives and their realization in derived categories |f Annette Huber |d 1995 |c Berlin |n Springer-Verlag |p 1 volume (XV-207 pages) |s Lecture notes in mathematics |z 3-540-59475-2 | |
| 776 | 0 | |t Mixed Motives and their Realization in Derived Categories |b Texte imprimé |z 9783662165416 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0095503 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-4T08G4N4-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750673354 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0095503 |z Accès Université d'Orléans | |
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