𝑅-equivalence in spinor groups

Chernousov, Vladimir¹ ; Merkurjev, Alexander²

¹ Fakultät Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany
² Department of Mathematics, University of California, Los Angeles, California 90095-1555

Journal of the American Mathematical Society, Tome 14 (2001) no. 3, pp. 509-534

Résumé

The groups of $R$-equivalent classes of the spinor groups of non-degenerate quadratic forms over arbitrary fields are computed in terms of certain $K$-cohomology groups of corresponding quadric hypersurfaces. As an application, examples of non-rational spinor groups of every dimension $\geq 6$ are given.

Détail

DOI : 10.1090/S0894-0347-01-00365-4

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