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math.NT2025
Rational points and rational moduli spaces
Shijie Fan, Rafael von Kanel
Let be a variety over . We introduce a geometric non-degenerate criterion for using moduli spaces over of abelian varieties. If is non-degene…
math.NT2023★ 1 cited
Integral points on coarse Hilbert moduli schemes
Rafael von Kanel, Arno Kret
We continue our study of integral points on moduli schemes by combining the method of Faltings (Arakelov, Parsin, Szpiro) with modularity results and Masser-Wüstholz isogeny estima…
math.NT2013★ 10 cited
Modularity and integral points on moduli schemes
Rafael von Känel
The purpose of this paper is to give some new Diophantine applications of modularity results. We use the Shimura-Taniyama conjecture to prove effective finiteness results for integ…