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arxiv: 1804.08388 · v4 · pith:QKD474QSnew · submitted 2018-04-23 · 🧮 math.RT · math.AG· math.GR

A surface of degree 24 with 1440 singularities of type D\₄

classification 🧮 math.RT math.AGmath.GR
keywords singularitiesdegreetypealgebraclassificationconstructcontainsdenoted
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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 $D\_4$.

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