A1 Algebraic Topology over a Field

A1 Algebraic Topology over a Field

Written by: Fabien Morel

  • Publisher: Springer
  • Publish Date: 2012-07-13
  • ISBN-10: 9783642295140
  • ebook-a1-algebraic-topology-over-a-field.pdf

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Book Summary

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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