Rational points on a subanalytic surface
[Points rationnels d'une surface sous-analytique]
Pila, Jonathan
Annales de l'Institut Fourier, Tome 55 (2005), p. 1501-1516 / Harvested from Numdam
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Soit X⊂ℝ n une surface sous-analytique compacte. Cet article démontre qu’en un sens convenable, il y a très peu de points rationnels de X qui ne se trouvent pas sur une courbe semi-algébrique connexe contenue dans X.

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.

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/aif.2131
Classification:  11D99,  11J99
Mots clés: ensemble sous-analytique, point rationnel 
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     title = {Rational points on a subanalytic surface},
     journal = {Annales de l'Institut Fourier},
     volume = {55},
     year = {2005},
     pages = {1501-1516},
     doi = {10.5802/aif.2131},
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     zbl = {02210717},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2005__55_5_1501_0}
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Pila, Jonathan. Rational points on a subanalytic surface. Annales de l'Institut Fourier, Tome 55 (2005) pp. 1501-1516. doi : 10.5802/aif.2131. http://gdmltest.u-ga.fr/item/AIF_2005__55_5_1501_0/

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