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Colliot-Thelene, J. L.
- Potential Density for Some Families of Homogeneous Spaces
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Authors
Affiliations
1 CNRS, UMR 8628, Mathematiques, Batiment 425, Universite Paris-Sud, F-91405 Orsay, FR
2 The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, IN
1 CNRS, UMR 8628, Mathematiques, Batiment 425, Universite Paris-Sud, F-91405 Orsay, FR
2 The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 27, No 3 (2012), Pagination: 295–303Abstract
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.- Groupe De Brauer Non Ramifie Des Espaces Principaux Homogènes De Groupes Linéaires
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Authors
Affiliations
1 C.N.R.S. URA D0752, Mathematiques, Batiment 425 Universite de Paris-Sud, F-91405 Orsay, FR
2 Department of Mathematics and Computer Science Bar-Ilan University, 52900 Ramat-Gan, IL
1 C.N.R.S. URA D0752, Mathematiques, Batiment 425 Universite de Paris-Sud, F-91405 Orsay, FR
2 Department of Mathematics and Computer Science Bar-Ilan University, 52900 Ramat-Gan, IL