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Rigidity for pseudo pretheories

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Abstract

Assume F is a homotopy invariant pseudo pretheory with torsion values and X is a smooth scheme of finite type over a field k. We show for certain field extensions k⊆K the map F(X)→F(X K ) is an isomorphism.

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Authors and Affiliations

  1. Department of Mathematics, University at Buffalo, SUNY, Buffalo, NY, 14260, USA

    Andreas Rosenschon

  2. Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

    Andreas Rosenschon

  3. Department of Mathematics, University of Oslo, Oslo, Norway

    Paul Arne Østvær

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  1. Andreas Rosenschon
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  2. Paul Arne Østvær
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Correspondence to Andreas Rosenschon or Paul Arne Østvær.

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Mathematics Subject Classification (2000)

14A99

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Rosenschon, A., Østvær, P. Rigidity for pseudo pretheories. Invent. math. 166, 95–102 (2006). https://doi.org/10.1007/s00222-006-0508-x

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  • DOI: https://doi.org/10.1007/s00222-006-0508-x

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