A1-algebraic topology over a field
This text deals with A<sup>1</sup>-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A<sup>...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2012. |
| Col·lecció: | Lecture notes in mathematics
2052 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 264 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A1-algebraic topology over a field, Fabien Morel, Berlin, Springer, 2012, 1 vol. (X-259 p.), Lecture notes in mathematics, 978-3-642-29513-3 • A1-algebraic topology over a field, Fabien Morel, Berlin, Springer, 2012, 1 vol. (X-259 p.), Lecture notes in mathematics, 978-3-642-29513-3 • A1-Algebraic Topology over a Field, Texte imprimé, 9783642295157 |
Taula de continguts:
- 1 Introduction 2 Unramified sheaves and strongly A1-invariant sheaves 3 Unramified Milnor-Witt K-theories 4 Geometric versus canonical transfers 5 The Rost-Schmid complex of a strongly A1-invariant sheaf 6 A1-homotopy sheaves and A1-homology sheaves 7 A1-coverings 8 A1-homotopy and algebraic vector bundles 9 The affine B.G. property for the linear groups and the Grassmanian