81 citations · 88 across the 2 of their papers we have counts for
3 papers
Rational surfaces and canonical dimension of PGL_6
Jean-Louis Colliot-Thélène, Nikita A. Karpenko, Alexander S. Merkurjev
The "canonical dimension" of an algebraic group over a field by definition is the maximum of the canonical dimensions of principal homogenous spaces under that group. Over a field…
The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)
Jean-Louis Colliot-Th'el`ene, Jean-Jacques Sansuc
This is a survey on the ancient question : Let G be a reductive group over an algebraically closed field k and let V be a vector space over k with an almost free linear action of G…
The density of rational points in curves and surfaces
D. R. Heath-Brown, J. -L. Colliot-Thélène
Let be an algebraic variety, defined over the rationals. This paper gives upper bounds for the number of rational points on , with height at most , for the case in which…