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Incompressibility of Products of Pseudo-homogeneous Varieties

Published online by Cambridge University Press:  20 November 2018

Nikita A. Karpenko
Nikita A. Karpenko*
Affiliation:
Mathematical & Statistical Sciences, University of Alberta, Edmonton, AB e-mail: karpenko@ualberta.ca
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Abstract

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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. Actually, the proof goes through for a wider class of varieties, including the norm varieties associated with symbols in Galois cohomology of arbitrary degree.

Keywords

20G1514C25algebraic groupsprojective homogeneous varietiesChow groups and motivescanonical dimension and incompressibility
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 824 - 833
Copyright
Copyright © Canadian Mathematical Society 2016

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