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130626 ||| eng |
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|a 9783642295140
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|a Morel, Fabien
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|a A1-Algebraic Topology over a Field
|h Elektronische Ressource
|c by Fabien Morel
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|a 1st ed. 2012
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2012, 2012
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| 300 |
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|a X, 259 p
|b online resource
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|a 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
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| 653 |
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|a K-Theory
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|a Algebraic Geometry
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|a Algebraic Topology
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|a Algebraic topology
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|a Algebraic geometry
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| 653 |
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|a K-theory
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|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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|a Lecture Notes in Mathematics
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|u https://doi.org/10.1007/978-3-642-29514-0?nosfx=y
|x Verlag
|3 Volltext
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|a 516.35
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|a 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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