A note on splitting curves of plane quartics and multi-sections of rational elliptic surfaces
A note on splitting curves of plane quartics and multi-sections of rational elliptic surfaces
复制标题
关于平面四次曲线和有理椭圆曲面多段分割曲线的注解
DOI：
10.1016/j.topol.2016.02.005
复制
发表时间：
2016
影响因子：
0.6
通讯作者：
S. Bannai
中科院分区：
文献类型：
--
作者：
S. Bannai
本文研究了平面四次线的分裂曲线与有理椭圆曲面的多截面之间的关系。我们给出了一个简单的接触曲线分裂时的准则，并计算了相应的多个部分在相应的有理椭圆曲面的Mordell-Weil群中的分量的图像。我们还介绍了一个概念，称为分裂型的某些配置的平面曲线，使我们能够区分的配置拓扑。为了证明其有效性，我们构造了新的例子Zagliki对和Zagliki三元组。
In this note, we study the relation between splitting curves of plane quartics and multi-sections of rational elliptic surfaces associated to the quartics. We give a criterion for when a simple contact curve splits and calculate the images of the components of the corresponding multi-sections in the Mordell–Weil group of the associated rational elliptic surface. We also introduce a notion called thesplitting typefor certain configurations of plane curves which allows us to distinguish the configurations topologically. To demonstrate its effectiveness we construct new examples of Zariski pairs and a Zariski triple.
影响因子：
0.5
作者：
M. Namba;Hiroyasu Tsuchihashi
通讯作者：
M. Namba;Hiroyasu Tsuchihashi
Zariski $K$-有理曲线排列和二面覆盖的 plet
DOI：
--
发表时间：
2004
期刊：
Topology Appl. 142
影响因子：
--
作者：
Artal Bartolo;Enrique;Tokunaga;Hiro-o
通讯作者：
Hiro-o