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A dodecic surface with 320 cusps

Cédric Bonnafé

Source record

Source: Crossref

Published: Jun 15, 2026

DOI: 10.4064/ba251219-8-5

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Source 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.

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A dodecic surface with 320 cusps — Mathematical Frontier Network