Equations of low-degree Projective Surfaces with three-divisible Sets of Cusps
Abstract
Let Y be a surface with only finitely many singularities all of which are cusps. A set of cusps on Y is called three-divisible, if there is a cyclic global triple cover of Y branched precisely over these cusps. The aim of this note is to determine the equations of surfaces Y ⊂ P3 of degrees ≤ 6 carrying a minimal, non-empty, three-divisible set.
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