Abstract

The aim of this paper is the study of the genus 3 curves

from the Arakelov viewpoint. The Jacobian of the curves C_n splits as a product of elliptic curves, and this fact gives enough arithmetical datum to determine the stable model and the canonical sheaf of the curves. We use this information to look for explicit expressions of the modular height and the self-intersection of the dualizing sheaf of the curves C_n.

Authors