3 papers
math.AG2025
Pullback and Weil transfer on Chow groups
Nikita Karpenko, Guangzhao Zhu
In the paper ``Weil transfer of algebraic cycles'', published by the second author in Indagationes Mathematicae about 25 years ago, a Weil transfer map for Chow groups of smooth al…
math.AG2025
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…
math.AG2024
Artin shapes
Nikita Karpenko, Guangzhao Zhu
We introduce and study on examples a notion of the Artin shape for a motive related to a projective homogenous variety. We apply it to the problem of finding the complete motivic d…