AI 中文总结
本文分类光滑单连通射影曲面上满足对偶簇次数≤6等奇异曲线束族，进而描述不可约分量为超平面截影类且基本群可满射到秩>6自由群的曲面上曲线补集的基本群。
AI 中文摘要
我们对光滑单连通射影曲面上的曲线束的等奇异族进行分类，这些曲线的对偶簇次数至多为6，且包含足够多的成员，其不可约分量要么是超平面截影，要么是超平面截影的不可约分量。作为结果，我们描述了这类曲面上曲线补集的基本群，该曲线的不可约分量满足上述条件，且其基本群容许一个本质满射到秩大于6的自由群上。
英文摘要
We classify equisingular families of pencils of curves on smooth simply connected projective surfaces whose dual varieties have degree at most 6, and which contain sufficiently large number of members which irreducible components are either hyperplane sections or irreducible components of hyperplane sections. As a consequence, we describe the fundamental groups of complements to curves on such surfaces whose irreducible components satisfy the above condition and whose fundamental groups admit an essential surjection onto a free group of rank greater than 6.
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