Search

Talk

Construction of genus 3 curves with complex multiplication over Q

  • Christophe Ritzenthaler (University de Rennes 1)
E1 05 (Leibniz-Saal)

Abstract

We give examples of smooth plane quartics over Q with complex multiplication over \bar{Q} by a maximal order with primitive CM type. We describe the required algorithms as we go: these involve the reduction of period matrices, the fast computation of Dixmier-Ohno invariants, and reconstruction from these invariants. Finally, we discuss some of the reduction properties of the curves that we obtain.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail