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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2019 Volume 307, Pages 132–141 (Mi tm4023)
This article is cited in 1 paper

Rationality Problem for Classifying Spaces of Spinor Groups

Alexander S. Merkurjev

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

Abstract: We study stable rationality and retract rationality properties of the classifying spaces of split spinor groups $\mathbf {Spin}_n$ over a field $F$ of characteristic different from $2$.

UDC: 512.76

Received: March 12, 2019
Revised: April 25, 2019
Accepted: July 3, 2019

DOI: 10.4213/tm4023


 English version: Proceedings of the Steklov Institute of Mathematics, 2019, 307, 115–124

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© Steklov Math. Inst. of RAS, 2025