A1-Algebraic Topology over a Field

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 togethe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morel, Fabien (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Lecture Notes in Mathematics, 2052
Temas:
Algebraic geometry.
K-theory.
Algebraic topology.
Algebraic Geometry.
K-Theory.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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