A1-algebraic topology over a field / Fabien Morel

Auteur principal : Morel, Fabien, 1965-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 2052Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2012Description : 1 vol. (X-259 p.) ; 24 cmISBN: 9783642295133.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 255-258. Index.Sujet MSC : 14-02, Research exposition (monographs, survey articles) pertaining to algebraic geometry
14C35, Algebraic geometry - Cycles and subschemes, Applications of methods of algebraic K-theory
14F42, (Co)homology theory in algebraic geometry, Motivic cohomology; motivic homotopy theoryEn-ligne : Springerlink | Zentralblatt | MathSciNet
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Bibliogr. p. 255-258. Index

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-homotopy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties. (Source : Springer)

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