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math.NT2025
Xeric varieties
Natalia Garcia-Fritz, Hector Pasten
Let be a smooth projective variety over a number field . The Green--Griffiths--Lang conjecture relates the question of finiteness of rational points in to the triviality…
math.NT2025
Effective Mordell for curves with enough automorphisms
Natalia Garcia-Fritz, Hector Pasten
We prove a completely explicit and effective upper bound for the Néron--Tate height of rational points of curves of genus at least over number fields, provided that they have e…