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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 330, Pages 158–172 (Mi znsl284)

This article is cited in 1 paper

On classification of projective homogeneous varieties up to motivic isomorphism

K. V. Zainullina, N. S. Semenovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: We give a complete classification of anisotropic projective homogeneous varieties of dimension less than 6 up to motivic isomorphism. We give several criterions for anisotropic flag varieties of type $\mathrm{A}_n$ to have isomorphic motives.

UDC: 512.5

Received: 23.11.2005


 English version:
Journal of Mathematical Sciences (New York), 2007, 140:5, 692–698

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