Invariant Smooth Quartic Surfaces by all Finite Primitive Groups of ${\mathrm{PGL}}_4(\mathbb{C})$

Jose Avila, Guillermo Ortiz, Sergio Troncoso

For each finite primitive subgroup $G$ of ${\mathrm{PGL}}_4(\mathbb{C})$, we find all the smooth $G$-invariant quartic surfaces. We also find all the faithful representations i…