Corpus ID: 102352841

Integral points on Hilbert moduli schemes

@article{Kanel2019IntegralPO,
  title={Integral points on Hilbert moduli schemes},
  author={Rafael von Kanel and Arno Kret},
  journal={arXiv: Number Theory},
  year={2019}
}
  • Rafael von Kanel, Arno Kret
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
  • 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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