A surface of degree $24$ with $1440$ singularities of type $D\_4$

Abstract

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 $D\_4$.

12 pages, 4 figures; more groups actions, simplified computations

References in corpus (1)

• The development version of the CHEVIE package of GAP3