no. 1
Stably rational algebraic tori
Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, pp. 263-268.

On montre qu'un tore stablement rationnel avec un corps de décomposition cyclique est rationnel.

The rationality of a stably rational torus with a cyclic splitting field is proved.

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Voskresenskii, Valentin E. Stably rational algebraic tori. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, pp. 263-268. http://archive.numdam.org/item/JTNB_1999__11_1_263_0/

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