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.
• Φυσική περιγραφή: X, 259 p. online resource.
• ISBN: 9783642295140
• ISSN: 0075-8434 ;

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.