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.
@article{JTNB_1999__11_2_439_0, author = {Nakamaye, Michael}, title = {Diophantine approximation on algebraic varieties}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {439--502}, publisher = {Universit\'e Bordeaux I}, volume = {11}, number = {2}, year = {1999}, mrnumber = {1745889}, zbl = {0991.11044}, language = {en}, url = {http://archive.numdam.org/item/JTNB_1999__11_2_439_0/} }
TY - JOUR AU - Nakamaye, Michael TI - Diophantine approximation on algebraic varieties JO - Journal de théorie des nombres de Bordeaux PY - 1999 SP - 439 EP - 502 VL - 11 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1999__11_2_439_0/ LA - en ID - JTNB_1999__11_2_439_0 ER -
Nakamaye, Michael. Diophantine approximation on algebraic varieties. Journal de théorie des nombres de Bordeaux, Volume 11 (1999) no. 2, pp. 439-502. http://archive.numdam.org/item/JTNB_1999__11_2_439_0/
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