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• W2022092506 abstract "In this article, we make use of geometry of sections of elliptic surfaces and elementary arithmetic on the Mordell-Weil group in order to study existence problem of dihedral covers with given reduced curves as the branch loci. As an application, we give some examples of Zariski pairs $(B_1, B_2)$ for “conic-line arrangements” satisfying the following conditions: (i) $deg B_1 = deg B_2 = 7$. (ii) Irreducible components of $B_i$ $(i = 1, 2)$ are lines and conics. (iii) Singularities of $B_i$ ($i = 1, 2$) are nodes, tacnodes and ordinary triple points." @default.
• W2022092506 created "2016-06-24" @default.
• W2022092506 creator A5045720999 @default.
• W2022092506 date "2014-04-01" @default.
• W2022092506 modified "2023-10-17" @default.
• W2022092506 title "Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers" @default.
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• W2022092506 doi "https://doi.org/10.2969/jmsj/06620613" @default.
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