Potential density for some families of homogeneous spaces

被引：0
|
作者：
Colliot-Thelene, J. -L. [1 ]
Iyer, J. N. [2 ,3 ]
机构：
[1] Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
[2] Inst Math Sci, Madras 600113, Tamil Nadu, India
[3] Univ Hyderabad, Dept Math & Stat, Hyderabad 500046, Andhra Pradesh, India
来源：
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY | 2012年 / 27卷 / 03期
关键词：
ALGEBRAIC-VARIETIES; TANGENT-BUNDLES; RATIONAL-POINTS; MANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a smooth, projective family of homogeneous varieties defined over a number field, we show that if potential density holds for the rational points of the base, then it also holds for the total space. A conjecture of Campana and Peternell, known in dimension at most 4 and for certain higher dimensional cases, would then imply potential density for the rational points of smooth projective varieties over number fields whose tangent bundle is nef.
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页码：295 / 303
页数：9
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