Nikita A. Karpenko: Incompressibility of products

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Submission: 2015, Jan 31

We show that the conjectural criterion of p-incompressibility for products of projective homogeneous varieties in terms of the factors, previously known in a few special cases only, holds in general. We identify the properties of projective homogeneous varieties actually needed for the proof to go through. For instance, generically split (non-homogeneous) varieties also satisfy these properties.

2010 Mathematics Subject Classification: 20G15; 14C25

Keywords and Phrases: Algebraic groups; projective homogeneous varieties; Severi-Brauer varieties; Chow groups and motives; canonical dimension and incompressibility.

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