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A1-Algebraic Topology over a Field [[electronic resource] /] / by Fabien Morel



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Autore: Morel Fabien Visualizza persona
Titolo: A1-Algebraic Topology over a Field [[electronic resource] /] / by Fabien Morel Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012
Edizione: 1st ed. 2012.
Descrizione fisica: 1 online resource (X, 259 p.)
Disciplina: 516.35
Soggetto topico: Algebraic geometry
K-theory
Algebraic topology
Algebraic Geometry
K-Theory
Algebraic Topology
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references (p. 255-258) and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: A1-algebraic topology over a field  Visualizza cluster
ISBN: 3-642-29514-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466770903316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2052