A1-Algebraic Topology over a Field

A1-Algebraic Topology over a Field

by Fabien Morel
Epub (Kobo), Epub (Adobe)
Publication Date: 30/03/2016

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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.

ISBN:
9783642295140
9783642295140
Category:
Algebraic geometry
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
30-03-2016
Language:
English
Publisher:
Springer Berlin Heidelberg

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