Integral points on coarse Hilbert moduli schemes

R von Kanel, A Kret - arXiv preprint arXiv:2307.06944, 2023 - arxiv.org
We continue our study of integral points on moduli schemes by combining the method of
Faltings (Arakelov, Parsin, Szpiro) with modularity results and Masser-W\" ustholz isogeny …

Integral points on moduli schemes

R von Känel - Journal of Number Theory, 2024 - Elsevier
The strategy of combining the method of Faltings (Arakelov, Paršin, Szpiro) with modularity
and Masser–Wüstholz isogeny estimates allows to explicitly bound the height and the …

[PDF][PDF] Integral points on coarse Hilbert moduli schemes

R Känel, A Kret - arXiv preprint arXiv:2307.06944, 2023 - pure.mpg.de
We continue our study of integral points on moduli schemes by combining the method of
Faltings (Arakelov, Paršin, Szpiro) with modularity results and Masser–Wüstholz isogeny …

[HTML][HTML] Product formulas for periods of CM abelian varieties and the function field analog

U Hartl, RK Singh - Journal of Number Theory, 2021 - Elsevier
We survey Colmez's theory and conjecture about the Faltings height and a product formula
for the periods of abelian varieties with complex multiplication, along with the function field …