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 = {Valentin E. Voskresenskii},
title = {Stably rational algebraic tori},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {263--268},
year = {1999},
publisher = {Universit\'e Bordeaux I},
volume = {11},
number = {1},
zbl = {0946.14030},
mrnumber = {1730444},
language = {en},
url = {https://jtnb.centre-mersenne.org/item/JTNB_1999__11_1_263_0/}
}
TY - JOUR AU - Valentin E. Voskresenskii TI - Stably rational algebraic tori JO - Journal de théorie des nombres de Bordeaux PY - 1999 SP - 263 EP - 268 VL - 11 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1999__11_1_263_0/ LA - en ID - JTNB_1999__11_1_263_0 ER -
Valentin E. Voskresenskii. Stably rational algebraic tori. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 1, pp. 263-268. https://jtnb.centre-mersenne.org/item/JTNB_1999__11_1_263_0/
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