论文标题
热带曲线和盖子及其模量空间
Tropical curves and covers and their moduli spaces
论文作者
论文摘要
这是为Jahresberichte der DMV撰写的调查文章。 热带几何形状可以看作是研究代数几何形状退化的有效组合工具。抽象的热带曲线本质上是度量图，并且在满足某些条件的度量图之间的热带曲线图的覆盖率。在这项简短的调查中，我们提供了抽象热带曲线和曲线的覆盖物及其模量空间的组合理论的介绍，并展示了三个结果，证明了如何在代数几何形状中应用该理论。
This is a survey article written for the Jahresberichte der DMV. Tropical geometry can be viewed as an efficient combinatorial tool to study degenerations in algebraic geometry. Abstract tropical curves are essentially metric graphs, and covers of tropical curves maps between metric graphs satisfying certain conditions. In this short survey, we offer an introduction to the combinatorial theory of abstract tropical curves and covers of curves, and their moduli spaces, and we showcase three results demonstrating how this theory can be applied in algebraic geometry.
