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arxiv: 1011.3186 · v3 · pith:BJQ3ESTWnew · submitted 2010-11-14 · 🧮 math.AG · math.AT· math.KT

Stable A¹-homotopy and R-equivalence

classification 🧮 math.AG math.ATmath.KT
keywords categoryhomotopystabledetectedevenexistencek-rationalpoint
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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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