On birational equivalence of algebraic tori

被引：0
作者：
Voskresenskii V.E. [1 ]
机构：
[1] Samara State University, Samara
来源：
Journal of Mathematical Sciences | 2009年 / 161卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Exact Sequence; Hopf Algebra; Galois Extension; Linear Algebraic Group; Direct Product Decomposition;
D O I：
10.1007/s10958-009-9543-7
中图分类号：
学科分类号：
摘要：
The faithful representations of quasisplit k-tori are studied. The old-standing conjecture of the rationality of stably rational tori is proved. © 2009 Springer Science+Business Media, Inc.
引用
收藏
页码：176 / 180
页数：4
相关论文
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Beauville A., Colliot-Thelene J.-L., Sansuc J.-J., Swinnerton-Dyer P., Varietes stablement rationnelles non rationnelles, Ann. Math., 121, pp. 283-318, (1985)
[2]  
Borel A., Linear Algebraic Groups, (1969)
[3]  
Voskresenskii V.E., On birational equivalence of linear algebraic groups, Dokl. Akad. Nauk SSSR, 188, 5, pp. 978-981, (1969)
[4]  
Voskresenskii V.E., Algebraic Tori, (1977)
[5]  
Voskresenskii V.E., Stably rational algebraic tori, J. Theory Des Nombres Bordeaux, 11, pp. 263-268, (1999)
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