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Rigidity for Henselian local rings and \(\mathbb{A}^1\)-representable theories

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Abstract

We prove that for a large class of \(\mathbb{A}^1\)-representable theories including all orientable theories it is possible to construct transfer maps and to prove rigidity theorems similar to those of Gabber for algebraic K-theory. This extends rigidity results of Panin and Yagunov from algebraically closed fields to arbitrary infinite ones.

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Authors and Affiliations

  1. NWF I - Mathematik, Universität Regensburg, Regensburg, 93040, Germany

    Jens Hornbostel & Serge Yagunov

  2. Steklov Mathematical Institute (St.Petersburg), Fontanka 27, St.Petersburg, 191023, Russia

    Serge Yagunov

Authors
  1. Jens Hornbostel
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  2. Serge Yagunov
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Corresponding author

Correspondence to Jens Hornbostel.

Additional information

The second author was supported in part by RTN-HPRN-CT-2002-00287, INTAS 00-566 and 03-51-3251 grants, and the “Russian Science Support Foundation”.

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Hornbostel, J., Yagunov, S. Rigidity for Henselian local rings and \(\mathbb{A}^1\)-representable theories. Math. Z. 255, 437–449 (2007). https://doi.org/10.1007/s00209-006-0049-4

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  • DOI: https://doi.org/10.1007/s00209-006-0049-4

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