A dodecic surface with 320 cusps

Bulletin of the Polish Academy of Sciences Mathematics 2026 Open access

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Authors: Cédric Bonnafé
DOI: 10.4064/ba251219-8-5
Cited by: 0

Abstract

We construct a degree 12 homogeneous invariant of the complex reflection group G29 (in Shephard–Todd’s notation) whose associated surface has 320 singularities of type A2, thereby improving previous records for dodecic surfaces.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Geometric and Algebraic Topology

Publication details

Journal / source
Bulletin of the Polish Academy of Sciences Mathematics
Publication date
15 June 2026