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A dodecic surface with 320 cusps

Cédric Bonnafé Bulletin Polish Acad. Sci. Math. MSC: Primary 14J17 DOI: 10.4064/ba251219-8-5 Published online: 15 June 2026

Abstract

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 $A_2$, thereby improving previous records for dodecic surfaces.

Authors

  • Cédric BonnaféIMAG, Université de Montpellier, CNRS
    Montpellier, France
    e-mail

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