Simone Muselli

Generalised Baker model of curves

Curves often shows up in number theory. More precisely, we are usually interested in studying nice (i.e., projective, non-singular) ones. However, such curves are not always easy to describe in practice. A classical method constructs simple equations for a nice curve C from a certain elementary combinatorial object attached to C. This description is called Baker model of C. Unfortunately, not every curve admits a Baker model. In this talk we present a new approach that extends the classical construction to any curve, preserving its computational and combinatorial nature.