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Incompressibility of Products of Pseudo-homogeneous Varieties

  Published:2016-05-25
 Printed: Dec 2016
  • Nikita A. Karpenko,
    Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta
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Abstract

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 which includes the norm varieties associated to symbols in Galois cohomology of arbitrary degree.
Keywords: algebraic groups, projective homogeneous varieties, Chow groups and motives, canonical dimension and incompressibility algebraic groups, projective homogeneous varieties, Chow groups and motives, canonical dimension and incompressibility
MSC Classifications: 20G15, 14C25 show english descriptions Linear algebraic groups over arbitrary fields
Algebraic cycles
20G15 - Linear algebraic groups over arbitrary fields
14C25 - Algebraic cycles
 

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