Nikita A. Karpenko: Incompressibility of quadratic Weil transfer of generalized Severi-Brauer varieties

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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

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