3 papers
math.NT2025
Curve equations from expansions of 1-forms at a nonrational point
Raymond van Bommel, Edgar Costa, Bjorn Poonen +1
We exhibit an algorithm to compute equations of an algebraic curve over a computable characteristic 0 field from the power series expansions of its regular 1-forms at a nonrational…
math.NT2020
A user's guide to the local arithmetic of hyperelliptic curves
Alex J. Best, L. Alexander Betts, Matthew Bisatt +8
A new approach has been recently developed to study the arithmetic of hyperelliptic curves over local fields of odd residue characteristic via combinatorial data associa…
math.AG2017
Inverse Galois problem for ordinary curves
Raymond van Bommel
We consider the inverse Galois problem over function fields of positive characteristic p, for example, the inverse Galois problem over the projective line. We describe a method to…