论文标题
在Metrized图上的可允许的Arakelov-Green功能的计算
Computation of Admissible Arakelov-Green Functions on Metrized Graphs
论文作者
论文摘要
Metrized图是Riemann表面的非Archimedean类似物，这些图表上的Arakelov-Green函数对于算术几何的某些方面至关重要。在本文中，我们给出了在Metrized图上的Arakelov-Green函数的明确公式，从而扩展了Cinkir的Arakelov-Green函数的公式。基于我们的公式，我们在计算机代数系统sagemath中介绍并实现了一种算法，以明确计算此类功能。我们用计算示例说明了算法。
Metrized graphs are nonarchimedean analogues of Riemann surfaces, and Arakelov-Green functions on these graphs are of fundamental importance for some aspects of arithmetic geometry. In the present paper, we give an explicit formula for an admissible Arakelov-Green function on a metrized graph, extending Cinkir's formula for the canonical Arakelov-Green function. Based on our formula, we present and implement an algorithm in the computer algebra system SageMath for explicitly computing such functions. We illustrate our algorithm with computational examples.
