26 citations · 46 across the 10 of their papers we have counts for
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A note on complex Lie Algebras isomorphic to their conjugate
Cyril Demarche
A real Lie algebra defines by extension of scalars a complex Lie algebra that is isomorphic to its Galois conjugate. In this paper, we are interested in the converse property: give…
Degree 4 cohomological invariants of algebraic tori
Cyril Demarche, Hanqing Long
In this paper, we determine the motive of the classifying torsor of an algebraic torus. As a result, we give an exact sequence describing the degree 4 cohomological invariants of a…
Splitting families in Galois cohomology
Cyril Demarche, Mathieu Florence
Let be a field, with absolute Galois group . Let be a finite étale group scheme of multiplicative type, i.e. a discrete -module. Let be an integer, and l…
Étale homotopy groups of algebraic groups and homogeneous spaces
Cyril Demarche, Tamás Szamuely
We show the vanishing of the second homotopy group of the étale homotopy type of a smooth connected algebraic group over a separably closed field, completed away from the character…