Rational points on a subanalytic surface

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 United Kingdom English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 55, pages 1,501-1,516 (eissn: 1777-5310,

Copyright policy )Funded by:NSERC | unidentified

Authors: Pila, J;

doi: 10.5802/aif.2131

handle: 1983/6cbad94a-947f-42d9-b6b8-70e2c9a5c439

Rational points on a subanalytic surface

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Abstract

Let X ⊂ ℝ n be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic curve contained in X .

Country

United Kingdom

Related Organizations

University of Bristol
United Kingdom
University of Oxford
United Kingdom

Keywords

Real-analytic and semi-analytic sets, semianalytic set, rational point, Diophantine equations, Heights, Semi-analytic sets, subanalytic sets, and generalizations, subanalytic set, Rational points, 510, height

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