Geodesic
Diophantine approximation on algebraic varieties
Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 439-502.

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We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.

Nous donnons un aperçu de progrès récents en théorie de l'approximation diophantienne. Le point de départ étant le théorème de Roth, nous nous intéressons d'abord à la conjecture de Mordell, puis ensuite à des résultats analogues en dimension supérieure, résultats dûs à Faltings-Wustholz et à Faltings.

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Nakamaye, Michael. Diophantine approximation on algebraic varieties. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 439-502. http://geodesic.mathdoc.fr/item/JTNB_1999__11_2_439_0/

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