A surface of degree $24$ with $1440$ singularities of type $D_4$

Cédric Bonnafé (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

Using the invariant algebra of the reflection group denoted by $G_{32}$ in Shephard-Todd classification, we construct three irreducible surfaces in $P^3$ with many singularities: one of them has degree $24$ and contains $1440$ quotient singularities of type $D_4$.

Domaines: Géométrie algébrique [math.AG]; Théorie des représentations [math.RT]; Théorie des groupes [math.GR]

Cédric Bonnafé. A surface of degree $24$ with $1440$ singularities of type $D_4$. 2018. ⟨hal-01773229v4⟩