Geometry of bisections of elliptic surfaces and Zariski -plets for conic arrangements

Bannai Shinzo; Tokunaga Hiro-o

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Geometry of bisections of elliptic surfaces and Zariski -plets for conic arrangements

机译：圆锥面的椭圆表面和Zariski -plet剖分的几何

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摘要

In this article, we study the geometry of bisections of certain rational elliptic surfaces. As an application, we give examples of Zariski -plets for conic arrangements, which generalize Namba-Tsuchihashi's result.

机译：在本文中，我们研究某些有理椭圆形曲面的平分几何。作为应用程序，我们给出了用于圆锥曲线排列的Zariski -plet的示例，这些示例概括了Namba-Tsuchihashi的结果。

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《Geometriae Dedicata》 |2015年第null期|共19页
作者
Bannai Shinzo; Tokunaga Hiro-o;
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正文语种 eng
中图分类几何、拓扑;
关键词
Rational elliptic surfaces; Mordell-Weil group; Zariski N-plet; Dihedral covers;

机译：有理椭圆形曲面;Mordell-Weil群;Zariski N-plet;二面体覆盖;

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专利

1. Geometry of bisections of elliptic surfaces and Zariski -plets for conic arrangements [J] . Bannai Shinzo, Tokunaga Hiro-o Geometriae Dedicata . 2015,第Null期

机译：圆锥面的椭圆表面和Zariski -plet剖分的几何
2. Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers [J] . Hiro-o Tokunaga Journal of the Mathematical Society of Japan . 2014,第2期

机译：椭圆面和Zariski对的截面，用于通过二面体覆盖进行圆锥线布置
3. Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements [J] . Bannai Shinzo, Tokunaga Hiro-O, Yamamoto Momoko Hokkaido Mathematical Journal . 2020,第1期

机译：立方线，立方圆线布置的椭圆表面理性点及拓扑
4. A computational model for nonrational bisector surfaces: curve-surface and surface-surface bisectors [C] . Elber, G., Myung-Soo Kim Geometric Modeling and Processing 2000. Theory and Applications. Proceedings . 2000

机译：非理性平分线的计算模型：曲线平分线和曲面平分线
5. Three contributions to topology, algebraic geometry and representation theory: Homological finiteness of abelian covers, algebraic elliptic cohomology theory and monodromy theorems in the elliptic setting. [D] . Yang, Yaping. 2014

机译：对拓扑，代数几何和表示理论的三个贡献：阿贝尔封面的同调有限性，代数椭圆同调理论和椭圆环境中的一峰定理。
6. Plet1 is an epigenetically regulated cell surface protein that provides essential cues to direct trophoblast stem cell differentiation [O] . Alexander Murray, Arnold R. Sienerth, Myriam Hemberger -1

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7. Geometry of bisections of elliptic surfaces and Zariski $N$-plets II [O] . Bannai, Shinzo, Tokunaga, Hiro-o 2016

机译：椭圆曲面的二等分几何和Zariski $ N $ -plets II

Geometry of bisections of elliptic surfaces and Zariski -plets for conic arrangements

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