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Cover: 9783642295133 | A1-Algebraic Topology over a Field | Fabien Morel | Taschenbuch | x
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A1-Algebraic Topology over a Field
Taschenbuch von Fabien Morel
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: x
259 S.
ISBN-13: 9783642295133
ISBN-10: 3642295134
Sprache: Englisch
Herstellernummer: 86085008
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Morel, Fabien
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: Fabien Morel
Erscheinungsdatum: 13.07.2012
Gewicht: 0,417 kg
Artikel-ID: 106521733
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: x
259 S.
ISBN-13: 9783642295133
ISBN-10: 3642295134
Sprache: Englisch
Herstellernummer: 86085008
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Morel, Fabien
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: Fabien Morel
Erscheinungsdatum: 13.07.2012
Gewicht: 0,417 kg
Artikel-ID: 106521733
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