2 citations · 4 across the 7 of their papers we have counts for
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Zero-cycles on surfaces dominated by products of hyperelliptic curves
Jean-Louis Colliot-Thélène, Federico Scavia, Alexei Skorobogatov
Conditionally on the finiteness of the relevant Tate-Shafarevich groups, we prove a local-to-global result for zero-cycles of degree on the surfaces given by $y^2 = f_1(x_1)f_2…
Divisibility phenomena in motivic Bloch--Ogus theory
Jean-Louis Colliot-Thélène, Stefan Schreieder
Let X be a smooth projective variety over a field k. For k separably closed, we prove that the subgroup of unramified classes in the Milnor K-group of the function fi…
Low degree unramified cohomology of generic diagonal hypersurfaces
Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov
We prove that the i-th unramified cohomology group of the generic diagonal hypersurface in the projective space of dimension n>i is trivial for i=1,2,3.
Sur l'injectivité de l'application cycle de Jannsen
Jean-Louis Colliot-Thélène, Federico Scavia
For specific classes of smooth, projective varieties over a field , we compare two cycle maps on the torsion subgroup of the second Chow group. The…
Fields of cohomological dimension one versus C_1-fields
Jean-Louis Colliot-Thélène
Ax gave examples of fields of cohomological dimension 1 which are not C_1-fields. Kato and Kuzumaki asked whether a weak form of the C_1-property holds for all fields of cohomologi…