Stable A^1-homotopy and R-equivalence

Abstract

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.

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

References in corpus (1)

• Smooth varieties up to A^1-homotopy and algebraic h-cobordisms