关于在无穷远处只有一个点的曲线
On curves with one place at infinity
- Université d’Angers（昂热大学）
- Lebanese university, Faculty of sciences 2（黎巴嫩大学理学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文综述了特征零代数闭域上平面曲线在无穷远处只有一个点时，其相关数值半群的算术性质及其几何应用，并提出了若干待解问题。
AI中文摘要：
设K是特征为零的代数闭域。K^2中在无穷远处只有一个点的平面曲线的许多几何性质可以从与这些曲线相关的数值半群的算术中获得。在这篇综述中，我们回顾了这些半群的主要性质以及从这些性质中获得的几何结果。我们还讨论了一些问题。
英文摘要：
Let K be an algebraically closed field of characteristic zero. Many of the geometric properties of the plane curves in K^2 with one place at infinity can be obtained from the arithmetic of numerical semigroups associated with these curves. In this survey, we recall the main properties of these semigroups as well as the geometric results obtained from these properties. We also address some problems.
