Couverture : A1-Algebraic Topology over a Field

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A1-Algebraic Topology over a Field

Fabien Morel

Résumé

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.

Détails de l'édition

ISBN-13
9783642295133
ISBN-10
3642295134
EAN
9783642295133
Éditeur
Springer (Berlin)
Date de publication
13 juillet 2012
Langue
en
Pages
259
Dimensions
23 cm
Provenance des données
  • dimensions BnF Catalogue général · 23 juillet 2026
  • language Google Books · 6 août 2026
  • page_count Google Books · 6 août 2026
  • publication_date Google Books · 6 août 2026
  • summary Google Books · 6 août 2026
  • title Google Books · 6 août 2026