C'edric Bonnaf'e

activity

20052025

collaborators

6 papers

math.AG2025

The Maschke octic contains 96 pairwise disjoint lines

Cédric Bonnafé

Miyaoka proved that a smooth surface of degree $d$ in $P^{3} (C)$ contains at most $2 d (d - 2)$ 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 $12$ homogeneous invariant of the complex reflection group $G_{29}$ (in Shephard-Todd's notation) whose associated surface has 320 singularities of type $A_{2}$ …

math.AG2024

Weyl group of type $E_{6}$ 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…

math.AG2018

Some singular curves and surfaces arising from invariants of complex reflection groups

Cédric Bonnafé

We construct highly singular projective curves and surfaces defined by invariants of primitive complex reflection groups.

math.RT2006

Around Solomon's descent algebras

Cédric Bonnafé, Götz Pfeiffer

We study different problems related to the Solomon's descent algebra $Σ (W)$ of a finite Coxeter group $(W, S)$ : positive elements, morphisms between descent algebras, Loewy length..…

math.GR2005

Twisted invariant theory for reflection groups

Cédric Bonnafé, Gus Lehrer, Jean Michel

Let $G$ be a reflection group acting on a vector space $V$ and let $γ$ be an automorphism of $V$ normalising $G$ . We study how $γ$ acts on invariants and covariants (for various re…

The Maschke octic contains 96 pairwise disjoint lines

A dodecic surface with 320 cusps

Weyl group of type E6​ and K3 surfaces

Some singular curves and surfaces arising from invariants of complex reflection groups

Around Solomon's descent algebras

Twisted invariant theory for reflection groups

Weyl group of type $E_{6}$ and K3 surfaces