Cusps and Codes

Abstract

We study a construction, which produces surfaces $Y\subset P_3$ with cusps. For example we obtain surfaces of degree six with 18, 24 or 27 three-divisible cusps. For sextic surfaces in a particular family of up to 30 cusps the codes of these sets of cusps are determined explicitly.

13 pages

References in corpus (2)

• K3 Surfaces with Nine Cusps
• Equations of low-degree Projective Surfaces with three-divisible Sets of Cusps

Cited by in corpus (4)

• Defect and Hodge numbers of hypersurfaces
• Cuspidal quintics and surfaces with $p_g=0,$ $K^2=3$ and 5-torsion
• Constructions of Kummer structures on generalized Kummer surfaces
• Wolf Barth (1942--2016)