Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$

Cédric Bonnafé; Alessandra Sarti

paper

Complex reflection groups and K3 surfaces II. The groups $G_{29}$ , $G_{30}$ and $G_{31}$

arXiv:2112.12400

Abstract

We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reflection groups. Some of these were already studied in a previous paper by W. Barth and the second author. We give here an easy proof that these are K3 surfaces, give equations in weighted projective space and describe their geometry.

46 pages

Complex reflection groups and K3 surfaces II. The groups G29​, G30​ and G31​

Abstract

Complex reflection groups and K3 surfaces II. The groups $G_{29}$ , $G_{30}$ and $G_{31}$