3 papers
math.AG2025
The Maschke octic contains 96 pairwise disjoint lines
Cédric Bonnafé
Miyaoka proved that a smooth surface of degree in contains at most pairwise disjoint lines. In this note, we verify that the Maschke oc…
math.AG2025
A dodecic surface with 320 cusps
Cédric Bonnafé
We construct a degree homogeneous invariant of the complex reflection group (in Shephard-Todd's notation) whose associated surface has 320 singularities of type …
math.AG2025
Weyl group of type and K3 surfaces
Cédric Bonnafé
Adapting methods of previous papers by A. Sarti and the author, we construct K3 surfaces from invariants of the Weyl group of type $\Erm_6$. We study in details one of these surfac…