Plane sextics with a type \(\mathbf E_{6}\) singular point

DOI10.1307/mmj/1310667976zbMath1223.14034arXiv0907.4714OpenAlexW1486226348MaRDI QIDQ2276078

Alexander Degtyarev

Publication date: 16 August 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4714

zbMATH Keywords

fundamental groupsingular curvetrigonal curvedessin d'enfantplane sextic

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20)

Uses Software

• GAP

Cites Work

• Plane sextics with a type \(\mathbf{E}_8\) singular point
• Stable symmetries of plane sextics
• Zariski \(k\)-plets via dessins d'enfants
• Fundamental groups of symmetric sextics
• Plane sextics via dessins d'enfants
• Irreducible plane sextics with large fundamental groups
• Sextic curves with simple singularities
• Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps
• Fundamental groups of symmetric sextics II
• Effective invariants of braid monodromy
• Oka's conjecture on irreducible plane sextics
• Alexander modules of plane algebraic curves
• On the Fundamental Group of an Algebraic Curve
• On deformations of singular plane sextics
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