Stable A^1-homotopy and R-equivalence

Mathematics – Algebraic Geometry

Scientific paper

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6 pages; various minor additions and corrections, to appear in J Pure Appl Alg

Scientific paper

We prove that existence of a k-rational point can be detected by the stable
A^1-homotopy category of S^1-spectra, or even a "rationalized" variant of this
category.

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