Nirvana Coppola

Reduction type of genus 3 curves in special strata of their moduli space

The goal of this talk is to give a classification of the reduction of genus-3 curves whose automorphism group contains a subgroup isomorphic to the Klein group. We will first compute all possible reduction types, and then characterize when each case is attained in terms of invariants attached to the equation of a normalized model of the curve. This is joint work with I. Bouw, P. Kılıçer, S. Kunzweiler, E. Lorenzo García and A. Somoza Henares.