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|a 9783642295140
|9 978-3-642-29514-0
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|a 10.1007/978-3-642-29514-0
|2 doi
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|a QA564-609
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|a 516.35
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|a Morel, Fabien.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a A1-Algebraic Topology over a Field
|h [electronic resource] /
|c by Fabien Morel.
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|a 1st ed. 2012.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2012.
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|a X, 259 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 2052
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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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|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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|a Algebraic geometry.
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|a K-theory.
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|a Algebraic topology.
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|a Algebraic Geometry.
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|a K-Theory.
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|a Algebraic Topology.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783642295133
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|i Printed edition:
|z 9783642295157
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 2052
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|u https://doi.uam.elogim.com/10.1007/978-3-642-29514-0
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a ZDB-2-LNM
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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