77 citations · 124 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Critical varieties and motivic equivalence for algebras with involution
Charles De Clercq, Anne Quéguiner-Mathieu, Maksim Zhykhovich
Motivic equivalence for algebraic groups was recently introduced in [9], where a characterization of motivic equivalent groups in terms of higher Tits indexes is given. As a conseq…
Motivic equivalence of algebraic groups
Charles De Clercq
Two semisimple algebraic groups of the same type are said to be motivic equivalent if the motives of the associated projective homogeneous varieties of the same type are isomorphic…
Classification of upper motives of algebraic groups of inner type A_n
Charles De Clercq
Let A, A' be two central simple algebras over a field F and \mathbb{F} be a finite field of characteristic p. We prove that the upper indecomposable direct summands of the motives…
Generalization of a going-down theorem in the category of Chow-Grothendieck motives due to N. Karpenko
Charles De Clercq
Let be a direct summand of the motive associated with a geometrically split, geometrically variety over a field satisfying the nilpotence principle. We s…