Sur la m\'ethode de Runge et les points entiers de certaines vari\'et\'es modulaires de Siegel

Samuel Le Fourn

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arXiv · 1702.07163

Sur la m\'ethode de Runge et les points entiers de certaines vari\'et\'es modulaires de Siegel

Samuel Le Fourn

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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 $A_2(2)$.

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Samuel Le Fourn. 2017-02-23. Sur la m\'ethode de Runge et les points entiers de certaines vari\'et\'es modulaires de Siegel. https://arxiv.org/abs/1702.07163

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