44 citations · 175 across the 26 of their papers we have counts for
4 papers · 1 filter
Semi-stable models, local heights and quadratic Chabauty for
Nikola Adžaga, Maarten Derickx, Timo Keller
Quadratic Chabauty computations for are complicated by local height contributions at primes of bad reduction. For squarefree , we explain a strategy for constructing…
-elliptic modular curves
Maarten Derickx, Daeyeol Jeon, Yongjae Kwon +1
We present a method for determining whether there exists a degree rational map from to some elliptic curve . Moreover, we explain how to obtain a quadrat…
Rational points on modular curves: parameterization and geometric explanations
Maarten Derickx, Sachi Hashimoto, Filip Najman +1
We show that, conditional on Zywina's effective version of the Serre uniformity conjecture, there is a natural way to parameterize non-CM -rational points on all modula…
Computing class groups and gonalities of algebraic curves over finite fields
Maarten Derickx, Kenji Terao
We give practical algorithms for computing the divisor class group and the gonality of a curve over a finite field, achieving several orders of magnitude speedup over existing meth…