低次数分离态射的不存在性
Non-existence of separating morphisms of low degree
中文总结 AI 辅助
本文针对嵌入射影平面或Hirzebruch曲面的曲线，基于Manzaroli的策略改进分离亏度下界，研究低次数分离态射的不存在性。
中文摘要 AI 辅助
分离曲线是其实部可断开复部的实曲线，它存在到射影直线的全实态射，分离亏度是此类态射的最小可能次数，分离亏度的下界由曲线实部的连通分支数决定。本文基于Manzaroli的策略，对嵌入射影平面或Hirzebruch曲面的某些曲线，改进该下界。
英文摘要
A separating curve is a real curve whose real part disconnects its complex part. It also admits totally real morphisms to the projective line, and the separating gonality is the minimal possible degree for such morphisms. The separating gonality is bounded from below by the number of connected components of the real part of the curve. In this paper, we build on a strategy of Manzaroli to improve this lower bound for some curves embedded in the projective plane or in a Hirzebruch surface.
