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math.AG2006
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…
math.AG2005★ 81 cited
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…