二维椭圆二面角覆盖，椭圆曲面截面几何，线-锥排列的Zebraki对
Elliptic dihedral covers in dimension 2, geometry of sections of elliptic surfaces, and Zariski pairs for line-conic arrangements
摘要：
本文给出了满足以下条件的Zariski对$(B_1, B_2)$的例子：（i）$°B_1 = °B_2 = 7$。(ii)$B_i$ $(i = 1, 2)$的不可约成分是直线和二次曲线。(iii)$B_i$ $(i = 1, 2)$的奇点是结点、三角结点和普通三重点。为了构造$B_i$（$i = 1, 2$），我们利用有理椭圆曲面的截面几何及其群结构。二面角覆盖对于区分$({\mathbb P}^2, B_i)$ $(i = 1, 2)$的拓扑结构起着重要的作用。
英文摘要：
In this article, examples of Zariski pairs $(B_1, B_2)$ satisfying the following condition are given: (i) $°B_1 = °B_2 = 7$. (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. In order to construct $B_i$ ($i = 1, 2$), we make use of geometry of sections of rational elliptic surfaces and their group structure. Dihedral covers play important roles to distinguish the topology of $({\mathbb P}^2, B_i)$ $(i = 1, 2)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
