… We prove that except for several already known cases, the generic torus of a simple (adjoint
or simply connected) group is not stably rational. This confirms a conjecture by Le Bruyn on …
In this paper, we are interested in the rationality problem for generic tori. We restrict our
attention to the case where G is an (absolutely almost) simple group, either adjoint or simply
connected. Recall that an F-torus T …