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

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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     title = {Diophantine approximation on algebraic varieties},
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     year = {1999},
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Michael Nakamaye. Diophantine approximation on algebraic varieties. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 439-502. doi: 10.5802/jtnb.260

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