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Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties

Part of: Algebraic groups

Published online by Cambridge University Press:  12 May 2011

Nikita A. Karpenko
Nikita A. Karpenko
Affiliation:
Université Pierre et Marie Curie Paris 06, Institut de Mathématiques de Jussieu, F-75252 Paris, France ([email protected])
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Abstract

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 the canonical 2-dimension of X (in the general case).

Keywords

algebraic groupsprojective homogeneous varietiesChow groups

MSC classification

Secondary: 14L17: Affine algebraic groups, hyperalgebra constructions
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 1 , January 2012 , pp. 119 - 131
Copyright
Copyright © Cambridge University Press 2011

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