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 …
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 …
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 …