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

Cédric Bonnafé (1) , Alessandra Sarti (2)

1 IMAG - Institut Montpelliérain Alexander Grothendieck
2 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]

We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reection 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.

Domaines: Géométrie algébrique [math.AG]

Cédric Bonnafé, Alessandra Sarti. Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$.. Journal of the Korean Mathematical Society, 2023, 60, pp.695-743. ⟨10.4134/JKMS.j220014⟩. ⟨hal-03565113v2⟩