Fabien Morel

A1-Algebraic Topology over a Field

• Broschiertes Buch

Produktbeschreibung

This volume deals with A 1 -homotopy theory over a base field. It is a natural sequel to the foundational paper on A 1 -homotopy theory written together with V. Voevodsky. Inspired by classical algebraic topology, we present new techniques, new results and applications related to A 1 -homotopy sheaves, A 1 -homology sheaves, sheaves with generalized transfers and algebraic vector bundles.

Produktdetails

• Lecture Notes in Mathematics 2052
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 86085008, 978-3-642-29513-3
• 2012
• Seitenzahl: 272
• Erscheinungstermin: 13. Juli 2012
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 424g
• ISBN-13: 9783642295133
• ISBN-10: 3642295134
• Artikelnr.: 35255839

Inhaltsangabe

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