7 citations · 7 across the 4 of their papers we have counts for
4 papers
Upper bound for the height of S-integral points on elliptic curves
Vincent Bosser, Andrea Surroca
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set S of places of the number field K inv…
Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture
Vincent Bosser, Andrea Surroca
Most, if not all, unconditional results towards the abc-conjecture rely ultimately on classical Baker's method. In this article, we turn our attention to its elliptic analogue. Usi…
Quantitative Chevalley-Weil theorem for curves
Yuri Bilu, Marco Strambi, Andrea Surroca
The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field K, the discriminant of the field of definition of the fiber over…
Siegel's theorem and the abc conjecture
Andrea Surroca
Following N. Elkies ("ABC implies Mordell") we show that the abc conjecture of Masser-Oesterle implies an effective version of Siegel's theorem about integral points on algebraic c…