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A dodecic surface with 320 cusps

Algebraic Geometry 2025-12-22 v3 Representation Theory
Authors: Cédric Bonnafé
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Abstract

We construct a degree 1212 homogeneous invariant of the complex reflection group G29G_{29} (in Shephard-Todd's notation) whose associated surface has 320 singularities of type A2A_2, improving previous records for dodecic surfaces.

Keywords

del pezzo surfaces algebraic surfaces

Cite

@article{arxiv.2511.01322,
  title  = {A dodecic surface with 320 cusps},
  author = {Cédric Bonnafé},
  journal= {arXiv preprint arXiv:2511.01322},
  year   = {2025}
}

Comments

7 pages, 3 figures

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