Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers

DOI10.2969/jmsj/06620613zbMath1300.14018arXiv1111.5924OpenAlexW2022092506MaRDI QIDQ2248633

Hiro-O Tokunaga

Publication date: 27 June 2014

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5924

zbMATH Keywords

Mordell-Weil groupelliptic surfaceZariski pairDihedral cover

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) 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, Smooth Q$\mathbb {Q}$‐homology planes satisfying the negativity conjecture, On the structure of conjugation-free fundamental groups of conic-line arrangements, Elliptic surfaces of rank one and the topology of cubic-line arrangements, On left regular bands and real conic-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, Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets for conic arrangements, 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

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