3 papers
math.NT2023
Reduction of Plane Quartics and Cayley Octads
Raymond van Bommel, Jordan Docking, Vladimir Dokchitser +2
We give a conjectural characterisation of the stable reduction of plane quartics over local fields in terms of their Cayley octads. This results in p-adic criteria that efficiently…
math.NT2022
On smooth plane models for modular curves of Shimura type
Samuele Anni, Eran Assaf, Elisa Lorenzo García
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such cur…
math.NT2014
Bad reduction of genus curves with complex multiplication
Irene Bouw, Jenny Cooley, Kristin Lauter +4
Let be a smooth, absolutely irreducible genus- curve over a number field . Suppose that the Jacobian of has complex multiplication by a sextic CM-field . Suppose f…