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.
Reihe
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ISBN-13
978-3-642-29514-0 (9783642295140)
DOI
10.1007/978-3-642-29514-0
Schweitzer Klassifikation
