A1-Algebraic Topology over a Field
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Mathematics
- EAN:
9783642295133
- ISBN:
3642295134
- Pagine:
- 272
- Formato:
- Paperback
- Lingua:
- Tedesco
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Descrizione A1-Algebraic Topology over a Field
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.
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