Integral points on Hilbert moduli schemes

Rafael von Kanel; Arno Kret

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arXiv · 1904.03503

Integral points on Hilbert moduli schemes

Rafael von Kanel·Arno Kret

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Abstract

We use the method of Faltings (Arakelov, Par\v{s}in, Szpiro) in order to explicitly study integral points on a class of varieties over $\mathbb Z$ called Hilbert moduli schemes. For instance, integral models of Hilbert modular varieties are classical examples of Hilbert moduli schemes. Our main result gives explicit upper bounds for the height and the number of integral points on Hilbert moduli schemes.

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Rafael von Kanel, Arno Kret. 2019-04-06. Integral points on Hilbert moduli schemes. https://arxiv.org/abs/1904.03503

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