A variety $X$ is called Lagrangian if there exists a $(2,0)$-form of maximal rank on its Albanese variety that vanishes on $X$. In their paper “Galois Closure and Lagrangian Varieties”, Bastianelli, Pirola, and Stoppino showed that the Galois closure of a finite map is Lagrangian.

The aim of this seminar is to investigate the Galois closure of a degree $3$ map between a $(1,6)$ abelian surface and the projective plane introduced by Federico Moretti. In particular, we will compute its Chern invariants and study its canonical map.