A1-Algebraic Topology over a Field, F Morel (2012) [3642295134] torrent

Publication Date: July 13, 2012 | ISBN-10: 3642295134 | ISBN-13: 978-3642295133 | Edition: 2012


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.