Classification of sextics of torus type.

DOI10.3836/tjm/1244208862zbMath1062.14036arXivmath/0201035OpenAlexW1974223542MaRDI QIDQ1812495

Mutsuo Oka, Duc Tai Pho

Publication date: 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201035

zbMATH Keywords

maximal curvesdual curvesconfigurations of singularities

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Singularities of curves, local rings (14H20)

Related Items (12)

\(\pi_1\)-equivalent weak Zariski pairs ⋮ CLASSICAL ZARISKI PAIRS ⋮ Geography of irreducible plane sextics ⋮ Apparent contours of nonsingular real cubic surfaces ⋮ Parametric equations of plane sextic curves with a maximal set of double points ⋮ Singular points of reducible sextic curves ⋮ The fundamental group of a generalized trigonal curve ⋮ Geometry of reduced sextics of torus type ⋮ Stable symmetries of plane sextics ⋮ Fundamental groups of the complements of certain plane non-tame torus sextics ⋮ Alexander-equivalent Zariski pairs of irreducible sextics ⋮ Irreducible plane sextics with large fundamental groups

Cites Work

• On deformations of quintic surfaces
• Geometry of reduced sextics of torus type
• (2,3) torus sextics and the Albanese images of 6-fold cyclic multiple planes
• Sextic curves with simple singularities
• Singular Points of Complex Hypersurfaces. (AM-61)
• Classification of singularities on torus curves of type (2,3).
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