论文标题
表征两组分稳定曲线的高态性
Characterizing gonality for two-component stable curves
论文作者
论文摘要
众所周知的结果是，在$ \ mathbb {c} $上，具有两个组件的稳定曲线是高纤维化的，并且仅当两个组件都是过度ellelliptic的，而相交点是每个组件的点。通过使用可允许的覆盖物，我们以两种方式概括了这种表征：对于具有两个平滑组件和一个节点的较高高性的稳定曲线；并且对于具有两个平滑的非理性组件和任何数量的节点的过性和三角形稳定曲线。
It is a well-known result that a stable curve of compact type over $\mathbb{C}$ having two components is hyperelliptic if and only if both components are hyperelliptic and the point of intersection is a Weierstrass point for each of them. With the use of admissible covers, we generalize this characterization in two ways: for stable curves of higher gonality having two smooth components and one node; and for hyperelliptic and trigonal stable curves having two smooth non rational components and any number of nodes.
