A note on splitting curves of plane quartics and multi-sections of rational elliptic surfaces

DOI10.1016/j.topol.2016.02.005zbMath1342.14080OpenAlexW2297467699MaRDI QIDQ260603

Shinzo Bannai

Publication date: 21 March 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.02.005

zbMATH Keywords

elliptic surfacescontact curvessplitting curvesZariski pairs

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Coverings in algebraic geometry (14E20)

Related Items

A note on splitting numbers for Galois covers and 𝜋₁-equivalent Zariski 𝑘-plets ⋮ Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets. II. ⋮ Torsion divisors of plane curves and Zariski pairs ⋮ Non-homotopicity of the linking set of algebraic plane curves ⋮ Double covers and vector bundles of rank two ⋮ Two-graphs and the Embedded Topology of Smooth Quartics and its Bitangent Lines ⋮ Galois covers of graphs and embedded topology of plane curves ⋮ Zariski tuples for a smooth cubic and its tangent lines ⋮ Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement ⋮ Nodal curves with a contact-conic and Zariski pairs

Cites Work

• Lattice Zariski \(k\)-ples of plane sextic curves and \(Z\)-splitting curves for double plane sextics
• Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets for conic arrangements
• Zariski \(k\)-plets of rational curve arrangements and dihedral covers
• Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers
• The Arithmetic of Elliptic Curves
• On the fundamental groups of Galois covering spaces of the projective plane
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