The rationality of a stably rational torus with a cyclic splitting field is proved.
On montre qu'un tore stablement rationnel avec un corps de décomposition cyclique est rationnel.
@article{JTNB_1999__11_1_263_0, author = {Voskresenskii, Valentin E.}, title = {Stably rational algebraic tori}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {263--268}, publisher = {Universit\'e Bordeaux I}, volume = {11}, number = {1}, year = {1999}, mrnumber = {1730444}, zbl = {0946.14030}, language = {en}, url = {http://www.numdam.org/item/JTNB_1999__11_1_263_0/} }
Voskresenskii, Valentin E. Stably rational algebraic tori. Journal de théorie des nombres de Bordeaux, Volume 11 (1999) no. 1, pp. 263-268. http://www.numdam.org/item/JTNB_1999__11_1_263_0/
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