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

Cédric Bonnafé

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

Representation Theory 2018-07-04 v4 Algebraic Geometry Group Theory

Authors: Cédric Bonnafé

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 $D\_4$ .

Keywords

algebraic surface singularities reflection group invariant algebra shephard-todd classification

Cite

@article{arxiv.1804.08388,
  title  = {A surface of degree $24$ with $1440$ singularities of type $D\_4$},
  author = {Cédric Bonnafé},
  journal= {arXiv preprint arXiv:1804.08388},
  year   = {2018}
}

Comments

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

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