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On Runge’s method and the integral points of some modular varieties. (Sur la méthode de Runge et les points entiers de certaines variétés modulaires de Siegel.) (French. English summary) Zbl 1427.11058

Summary: 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 \(A_2(2)\).

MSC:

11G18 Arithmetic aspects of modular and Shimura varieties
14G35 Modular and Shimura varieties
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