A1-Algebraic Topology over a Field
This text deals with A 1 -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 1 -homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A 1 -homotopy sheaves, A 1 -homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
This text deals with A 1 -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 1 -homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A 1 -homotopy sheaves, A 1 -homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
| Autor: | Morel, Fabien |
|---|---|
| ISBN: | 9783642295133 |
| Sprache: | Englisch |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Nature EN |
| Veröffentlicht: | 13.07.2012 |
| Schlagworte: | Algebraic Geometry Algebraic Topology Algebraische Topologie B K-Theory Mathematics and Statistics |
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