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Oriented Chow groups, Hermitian K-theory and the Gersten conjecture

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Abstract

We show that the oriented Chow groups of Barge–Morel appear in the E 2-term of the coniveau spectral sequence for Hermitian K-theory. This includes a localization theorem and the Gersten conjecture (over infinite base fields) for Hermitian K-theory. We also discuss the conjectural relationship between oriented and higher oriented Chow groups and Levine’s homotopy coniveau spectral sequence when applied to Hermitian K-theory.

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

    Jens Hornbostel

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  1. Jens Hornbostel
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Hornbostel, J. Oriented Chow groups, Hermitian K-theory and the Gersten conjecture. manuscripta math. 125, 273–284 (2008). https://doi.org/10.1007/s00229-007-0148-5

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  • DOI: https://doi.org/10.1007/s00229-007-0148-5

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