Stable A^1-homotopy and R-equivalence
Algebraic Geometry
2011-01-06 v3 Algebraic Topology
K-Theory and Homology
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.
Cite
@article{arxiv.1011.3186,
title = {Stable A^1-homotopy and R-equivalence},
author = {Aravind Asok and Christian Haesemeyer},
journal= {arXiv preprint arXiv:1011.3186},
year = {2011}
}
Comments
6 pages; various minor additions and corrections, to appear in J Pure Appl Alg