most citedQuantitative Riemann existence theorem over a number field

1 citations · 2 across the 3 of their papers we have counts for

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math.NT2009

Characterizing algebraic curves with infinitely many integral points

Yuri Bilu, Alvanos Paraskevas, Poulakis Dimitrios

A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinit…

math.NT2008★ 1 cited

Quantitative Riemann existence theorem over a number field

Yuri F. Bilu, Marco Strambi

Given a covering of the projective line with ramifications defined over a number field, we define a plain model of the algebraic curve realizing the Riemann existence theorem for t…

math.NT2008★ 1 cited

Serre's uniformity problem in the split Cartan case

Yuri Bilu, Pierre Parent

We prove that there exists an integer p_0 such that X_split(p)(Q) is made of cusps and CM-points for any prime p>p_0. Equivalently, for any non-CM elliptic curve E over Q and any p…