Homology, Homotopy and Applications

Volume 13 (2011)

Number 2

Remark on rigidity over several fields

Pages: 159 – 164

DOI: https://dx.doi.org/10.4310/HHA.2011.v13.n2.a10

Author

Serge Yagunov (Steklov Mathematical Institute, St. Petersburg, Russia; Max-Planck Institute für Mathematik, Bonn, Germany)

Abstract

It is shown that T-spectrum representable cohomology theories on smooth algebraic varieties satisfy normalization condition over nonreal fields. As a consequence, one can see that the rigidity property holds for all representable theories over considered fields.

Keywords

rigidity, motivic homotopy group, unorientable cohomology theory, nonreal field

2010 Mathematics Subject Classification

14F42, 14F45

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Published 25 January 2012