Stably rational algebraic tori
Journal de théorie des nombres de Bordeaux (1999)
- Volume: 11, Issue: 1, page 263-268
- ISSN: 1246-7405
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topVoskresenskii, Valentin E.. "Stably rational algebraic tori." Journal de théorie des nombres de Bordeaux 11.1 (1999): 263-268. <http://eudml.org/doc/248326>.
@article{Voskresenskii1999,
abstract = {The rationality of a stably rational torus with a cyclic splitting field is proved.},
author = {Voskresenskii, Valentin E.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {stably rational torus; cyclic splitting field; rationality of torus},
language = {eng},
number = {1},
pages = {263-268},
publisher = {Université Bordeaux I},
title = {Stably rational algebraic tori},
url = {http://eudml.org/doc/248326},
volume = {11},
year = {1999},
}
TY - JOUR
AU - Voskresenskii, Valentin E.
TI - Stably rational algebraic tori
JO - Journal de théorie des nombres de Bordeaux
PY - 1999
PB - Université Bordeaux I
VL - 11
IS - 1
SP - 263
EP - 268
AB - The rationality of a stably rational torus with a cyclic splitting field is proved.
LA - eng
KW - stably rational torus; cyclic splitting field; rationality of torus
UR - http://eudml.org/doc/248326
ER -
References
top- [1] A. Beauville, J.-L. Colliot-Thélène, J.-J. Sansuc, Sir P. Swinnerton-Dyer, Variétés stablement rationnelles non rationnelles. Ann. Math.121 (1985), 283-318. Zbl0589.14042MR786350
- [2] V. Voskresenski, The geometry of linear algebraic groups. Proc. Steklov Inst. Math.132 (1973), 173-183. Zbl0309.14040MR342521
- [3] V. Voskresenski, Fields of Invariants of Abelian Groups. Russian Math. Surveys28 (1973), 79-105. Zbl0289.14006MR392935
- [4] A. Klyachko, On the rationality of tori with a cyclic splitting field. Arithmetic and Geometry of Varieties, Kuibyshev Univ., 1988, 73-78 (Russian). Zbl0751.14031
- [5] A. Chistov, On the birational equivalence of tori with a cyclic splitting field. Zapiski Nauchnykh Seminarov LOMI64 (1976), 153-158 (Russian). Zbl0358.14017MR450282
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