Potential density for some families of homogeneous spaces

Colliot-Thelene, J. L. ; Iyer, Jaya N. N. (2012) Potential density for some families of homogeneous spaces Journal of Ramanujan Math.Soc, 27 (3). No pp. given. ISSN 0970-1249

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Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to The Ramanujan Mathematical Society.
ID Code:102292
Deposited On:01 Feb 2018 11:03
Last Modified:01 Feb 2018 11:03

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