A1-algebraic topology over a field

This text deals with A<sup>1</sup>-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 A<sup>...

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Detalles Bibliográficos
Autor principal: Morel, Fabien, 1965-...., mathématicien
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edición:1st ed. 2012.
Colección:Lecture notes in mathematics 2052
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Nota: L'impression du document génère 264 p.
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Edition sous un autre format:• A1-algebraic topology over a field, Fabien Morel, Berlin, Springer, 2012, 1 vol. (X-259 p.), Lecture notes in mathematics, 978-3-642-29513-3
• A1-algebraic topology over a field, Fabien Morel, Berlin, Springer, 2012, 1 vol. (X-259 p.), Lecture notes in mathematics, 978-3-642-29513-3
• A1-Algebraic Topology over a Field, Texte imprimé, 9783642295157
Descripción
Sumario:This text deals with A<sup>1</sup>-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 A<sup>1</sup>-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 A<sup>1</sup>-homotopy sheaves, A<sup>1</sup>-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties
Notas:L'impression du document génère 264 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografía:Bibliogr. Index
ISBN:9783642295140 (PDF)
ISSN:1617-9692
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