A dodecic surface with 320 cusps
C\'edric Bonnaf\'e

TL;DR
This paper constructs a degree 12 invariant of a complex reflection group, resulting in a surface with 320 singularities, setting a new record for dodecic surfaces.
Contribution
It introduces a new invariant leading to a dodecic surface with more singularities than previously known.
Findings
Constructed a degree 12 invariant for G_{29}
Produced a surface with 320 A_2 singularities
Sets a new record for dodecic surface singularities
Abstract
We construct a degree homogeneous invariant of the complex reflection group (in Shephard-Todd's notation) whose associated surface has 320 singularities of type , improving previous records for dodecic surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology
