[On Runge's method and the integral points of some modular varieties]
We present results on the integral points of some modular varieties. These results are based on a generalisation of the so-called Runge's method to higher dimensions, which will be explained first. In particular, we obtain an explicit result for the Siegel modular variety .
Nous présentons des résultats sur les points entiers de certaines variétés modulaires. Ceux-ci sont basés sur une généralisation de la méthode dite de Runge en dimension supérieure, que nous commençons par expliquer. En particulier, nous obtenons un résultat explicite dans le cas de la variété modulaire de Siegel .
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Samuel Le Fourn 1
@article{CRMATH_2017__355_8_847_0, author = {Samuel Le Fourn}, title = {Sur la m\'ethode de {Runge} et les points entiers de certaines vari\'et\'es modulaires de {Siegel}}, journal = {Comptes Rendus. Math\'ematique}, pages = {847--852}, publisher = {Elsevier}, volume = {355}, number = {8}, year = {2017}, doi = {10.1016/j.crma.2017.07.004}, language = {fr}, }
Samuel Le Fourn. Sur la méthode de Runge et les points entiers de certaines variétés modulaires de Siegel. Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 847-852. doi : 10.1016/j.crma.2017.07.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.07.004/
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