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| ISBN: | 9783642295140 |
|---|---|
| Formato: | ePub |
| Idioma: | Inglés |
| Editorial: | Springer Nature |
| Tema: | Matemáticas |
| Subtema: | Geometría algebraica |
| Año de publicación: | 2012-07-13 |
This text deals with A1-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 A1-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 A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.