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＜電子ブック＞
A1-Algebraic Topology over a Field / by Fabien Morel
(Lecture Notes in Mathematics. ISSN:16179692 ; 2052)

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
大きさ	X, 259 p : online resource
著者標目	*Morel, Fabien author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:K-theory LCSH:Algebraic topology FREE:Algebraic Geometry FREE:K-Theory FREE:Algebraic Topology
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-29514-0

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