Rost Nilpotence and Free Theories
Documenta mathematica, Tome 23 (2018), pp. 1635-1657
We introduce coherent cohomology theories h and prove that if such a theory is moreover generically constant then the Rost nilpotence principle holds for projective homogeneous varieties in the category of h-motives. Examples of such theories are algebraic cobordism and its descendants the free theories.
Classification :
14C25, 14F42
Mots-clés : motives, projective homogeneous varieties, algebraic cobordism
Mots-clés : motives, projective homogeneous varieties, algebraic cobordism
@article{10_4171_dm_656,
author = {Stefan Gille and Alexander Vishik},
title = {Rost {Nilpotence} and {Free} {Theories}},
journal = {Documenta mathematica},
pages = {1635--1657},
year = {2018},
volume = {23},
doi = {10.4171/dm/656},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/656/}
}
Stefan Gille; Alexander Vishik. Rost Nilpotence and Free Theories. Documenta mathematica, Tome 23 (2018), pp. 1635-1657. doi: 10.4171/dm/656
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