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math.AG2026
-trivial Galois cohomology classes and cohomological -dimension
Charles De Clercq
Given a prime , a field of characteristic different from and a finite -primary Galois module , a Galois cohomology class in is called -trivial if it…
math.AG2026
Isotropic localizations of mixed initial motives
Charles De Clercq, Fabio Tanania
In this paper, we define the triangulated category of initial motives, which contains, for example, all motives of projective homogeneous varieties for semisimple algebraic groups…
math.AG2026
Effective Bialynicki-Birula-Brosnan motivic decompositions
Charles De Clercq
Let be an isotropic reductive group and be a projective -homogeneous variety. Using results from Bialynicki-Birula, Hesselink and Iversen, Brosnan showed that if is…