平面六次曲线的Lattice Zerkki k-ples和双平面六次曲线的Z-分裂曲线
Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics
摘要：
简单六次曲线是一个简化的复杂的射影平面曲线的次数为6，只有简单的奇点。本文对沿单六次线分支的射影平面的双重覆盖引入Z-分裂曲线的概念，并利用Z-分裂曲线研究了单六次线的格Zaprikik-ples。我们定义了格型的特化，并将度小于或等于3的Z-分裂曲线的所有格型分类为特化。
英文摘要：
A simple sextic is a reduced complex projective plane curve of degree 6 with only simple singularities. We introduce a notion of Z-splitting curves for the double covering of the projective plane branching along a simple sextic, and investigate lattice Zariski k-ples of simple sextics by Z-splitting curves. We define specialization of lattice types, and classify all lattice types of Z-splitting curves of degree less than or equal to 3 up to specializations.
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。
