Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets for conic arrangements

DOI10.1007/s10711-015-0054-zzbMath1327.14177OpenAlexW2086732364MaRDI QIDQ744916

Shinzo Bannai, Hiro-O Tokunaga

Publication date: 12 October 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-015-0054-z

zbMATH Keywords

Mordell-Weil grouprational elliptic surfacesdihedral coversZariski \(N\)-plet

Mathematics Subject Classification ID

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

Related Items (10)

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. ⋮ Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements ⋮ Torsion divisors of plane curves and Zariski pairs ⋮ Elliptic surfaces of rank one and the topology of cubic-line arrangements ⋮ Two-graphs and the Embedded Topology of Smooth Quartics and its Bitangent Lines ⋮ Zariski tuples for a smooth cubic and its tangent lines ⋮ Free and nearly free curves from conic pencils ⋮ Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement ⋮ A note on splitting curves of plane quartics and multi-sections of rational elliptic surfaces

Cites Work

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• On deformations of quintic surfaces
• Dihedral coverings branched along maximizing sextics
• Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers
• Dihedral covers and an elementary arithmetic on elliptic surfaces
• On compact analytic surfaces. II
• ON THE PURITY OF THE BRANCH LOCUS OF ALGEBRAIC FUNCTIONS
• On Dihedral Galois Coverings
• Geometry of irreducible plane quartics and their quadratic residue conics
• On the fundamental groups of Galois covering spaces of the projective plane

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