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Rationality Problem for Classifying Spaces of Spinor Groups

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Abstract

We study stable rationality and retract rationality properties of the classifying spaces of split spinor groups Spinn over a field F of characteristic different from 2.

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Funding

The work was supported by the NSF grant DMS no. 1801530.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, CA, 90095-1555, USA

    Alexander S. Merkurjev

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  1. Alexander S. Merkurjev
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Correspondence to Alexander S. Merkurjev.

Additional information

In memory of Igor Rostislavovich Shafarevich

This article was submitted by the author simultaneously in Russian and English

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Vol. 307, pp. 132–141.

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Merkurjev, A.S. Rationality Problem for Classifying Spaces of Spinor Groups. Proc. Steklov Inst. Math. 307, 115–124 (2019). https://doi.org/10.1134/S0081543819060063

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  • DOI: https://doi.org/10.1134/S0081543819060063

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