A1-Algebraic Topology over a Field

• Κύριος συγγραφέας: Morel, Fabien (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Σειρά: Lecture Notes in Mathematics, 2052
• Θέματα: Mathematics.; Algebraic geometry.; K-theory.; Algebraic topology.; Algebraic Geometry.; K-Theory.; Algebraic Topology.

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...

Πίνακας περιεχομένων:

• 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.