Incompressibility of Products of Pseudo-homogeneous Varieties
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 824-833
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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.
Mots-clés :
20G15, 14C25, algebraic groups, projective homogeneous varieties, Chow groups and motives, canonical dimension and incompressibility
Karpenko, Nikita A. Incompressibility of Products of Pseudo-homogeneous Varieties. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 824-833. doi: 10.4153/CMB-2016-024-4
@article{10_4153_CMB_2016_024_4,
author = {Karpenko, Nikita A.},
title = {Incompressibility of {Products} of {Pseudo-homogeneous} {Varieties}},
journal = {Canadian mathematical bulletin},
pages = {824--833},
year = {2016},
volume = {59},
number = {4},
doi = {10.4153/CMB-2016-024-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-024-4/}
}
TY - JOUR AU - Karpenko, Nikita A. TI - Incompressibility of Products of Pseudo-homogeneous Varieties JO - Canadian mathematical bulletin PY - 2016 SP - 824 EP - 833 VL - 59 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-024-4/ DO - 10.4153/CMB-2016-024-4 ID - 10_4153_CMB_2016_024_4 ER -
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