We prove that the 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. (C) 2011 Elsevier B.V. All rights reserved.
机构:
Russian Acad Sci, St Petersburg Dept, Steklov Inst Math, Fontanka 27, St Petersburg 191023, Russia
St Petersburg State Univ, Chebyshev Lab, 14th Line VO 29B, St Petersburg 199178, RussiaRussian Acad Sci, St Petersburg Dept, Steklov Inst Math, Fontanka 27, St Petersburg 191023, Russia
机构:
Institut de Mathématiques de Jussieu, Université Paris 7 Denis Diderot, Paris cedex, 75251, Case Postale 7012 2, place JussieuInstitut de Mathématiques de Jussieu, Université Paris 7 Denis Diderot, Paris cedex, 75251, Case Postale 7012 2, place Jussieu
Morel F.
Voevodsky V.
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机构:
Institute for Advanced Study, Olden Lane, Princeton, 08540, NJInstitut de Mathématiques de Jussieu, Université Paris 7 Denis Diderot, Paris cedex, 75251, Case Postale 7012 2, place Jussieu
Voevodsky V.
Publications Mathématiques de l'Institut des Hautes Études Scientifiques,
1999,
90
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: 45
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143