karpenko at math.jussieu.fr

Submission: 2009, Oct 28

Let X be the variety obtained by the Weil transfer with respect to a quadratic separable field extension of a generalized Severi-Brauer variety. We study (and, in some cases, determine) the canonical dimension, incompressibility, and motivic indecomposability of X. We determine canonical 2-dimension of X (in the general case).

2000 Mathematics Subject Classification: 14L17; 14C25

Keywords and Phrases: Algebraic groups, projective homogeneous varieties, Chow groups

Full text: dvi.gz 38 k, dvi 100 k, ps.gz 691 k, pdf.gz 159 k, pdf 191 k.

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