Sur la méthode de Runge et les points entiers de certaines variétés modulaires de Siegel

Abstract

In this note, we announce results on integral points on some modular varieties, based on a generalisation of Runge's method in higher dimensions which will be explained beforehand. In particular, we obtain an explicit result in the case of the Siegel modular variety $A_2(2)$.

8 pages, en français