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.
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भाषा अंग्रेज़ी ● स्वरूप PDF ● ISBN 9783642295140 ● प्रकाशक Springer Berlin Heidelberg ● प्रकाशित 2012 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 6322835 ● कॉपी सुरक्षा Adobe DRM
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