Mixed Motives and Algebraic K-Theory
The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, an...
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| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1400 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 algebraic K-theory, Uwe Jannsen, Berlin, Springer-Verlag, 1990, 1 vol. (XI-246 p.), Lecture notes in mathematics, 0-387-52260-3 • Mixed Motives and Algebraic K-Theory, Texte imprimé, 9783662203934 |
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| 100 | 1 | |a Jannsen, Uwe. | |
| 245 | 1 | 0 | |a Mixed Motives and Algebraic K-Theory |c Uwe Jannsen. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1400 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Mixed motives for absolute hodge cycles -- Algebraic cycles, K-theory, and extension classes -- K-theory and ?-adic cohomology. | |
| 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 relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a K-théorie | ||
| 650 | |a Théorie de Hodge | ||
| 776 | 0 | |0 021407916 |t Mixed motives and algebraic K-theory |f Uwe Jannsen |c Berlin |n Springer-Verlag |d 1990 |p 1 vol. (XI-246 p.) |s Lecture notes in mathematics |z 0-387-52260-3 | |
| 776 | 0 | |t Mixed Motives and Algebraic K-Theory |b Texte imprimé |z 9783662203934 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Z63N0QHC-5 |z Accès sur la plateforme Istex | |
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