4 papers · 1 filter
A Prym variety with everywhere good reduction over
Nicolas Mascot, Jeroen Sijsling, John Voight
We compute an equation for a modular abelian surface that has everywhere good reduction over the quadratic field and that does not admit a principal…
Conductor and discriminant of Picard curves
Irene I. Bouw, Angelos Koutsianas, Jeroen Sijsling +1
We describe normal forms and minimal models of Picard curves, discussing various arithmetic aspects of these. We determine all so-called special Picard curves over wit…
Numerical computation of endomorphism rings
Nils Bruin, Jeroen Sijsling, Alexandre Zotine
We give practical numerical methods to compute the period matrix of a plane algebraic curve (not necessarily smooth). We show how automorphisms and isomorphisms of such curves, as…
A Database of Belyi Maps
Michael Musty, Sam Schiavone, Jeroen Sijsling +1
We use a numerical method to compute a database of three-point branched covers of the complex projective line of small degree. We report on some interesting features of this data s…