4 papers
Rost nilpotence for twisted Milnor hypersurfaces
Charles De Clercq, Evan Marth, Kirill Zainoulline
We show that the strong Rost nilpotence holds for motives of generic hyperplane sections of twisted Milnor hypersurfaces. Hence, we provide a new family of examples of smooth proje…
Smooth profinite groups, III: the Smoothness Theorem
Charles De Clercq, Mathieu Florence
Let be a prime. In this article, we prove the Smoothness Theorem, which asserts that a -cyclotomic pair is -cyclotomic, for all . In the particular case…
Smooth profinite groups, I: geometrizing Kummer theory
Charles De Clercq, Mathieu Florence
In this series of three papers, we introduce and study cyclotomic pairs and smooth profinite groups. They are a geometric axiomatisation of Kummer theory for fields, with coefficie…
A-upper motives of reductive groups
Charles De Clercq, Nikita Karpenko, Anne Quéguiner-Mathieu
Given a prime number , we perform the study of Chow motives and motivic decompositions, with coefficients in , of projective homogeneous varieties for $p…