43 citations · 156 across the 18 of their papers we have counts for
20 papers
Regular models of modular curves in prime level over
Bas Edixhoven, Pierre Parent
We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of (for any prime, ).…
Geometric quadratic Chabauty
Bas Edixhoven, Guido Lido
Determining all rational points on a curve of genus at least 2 can be difficult. Chabauty's method (1941) is to intersect, for a prime number p, in the p-adic Lie group of p-adic p…
Semistable reduction of modular curves associated with maximal subgroups in prime level
Bas Edixhoven, Pierre Parent
We complete the description of semistable models for modular curves associated with maximal subgroups of (for any prime, ). That is, in th…
Pink's conjecture on unlikely intersections and families of semi-abelian varieties
Daniel Bertrand, Bas Edixhoven
The Poincaré torsor of a Shimura family of abelian varieties can be viewed both as a family of semi-abelian varieties and as a mixed Shimura variety. We show that the special subva…
A mod p variant of the André-Oort conjecture
Bas Edixhoven, Rodolphe Richard
We state and prove a variant of the André-Oort conjecture for the product of 2 modular curves in positive characteristic, assuming GRH for quadratic fields.
Approximate computations with modular curves
Jean-Marc Couveignes, Bas Edixhoven
This article gives an introduction for mathematicians interested in numerical computations in algebraic geometry and number theory to some recent progress in algorithmic number the…