具有少量缺边的完全图的公度性
Gonality of complete graphs with a small number of omitted edges
摘要：
设$K_d$是关于$d$顶点的完全度量图。我们计算从$K_d$通过省略形成$K_h$的边，或至多$d-2$边的一般配置得到的图的角性。我们还调查，如果这些图可以提升到曲线具有相同的gonality。我们解除前图和通过删除不形成$K_3$的$d-2$边缘使用具有一定的奇异性的平面曲线的模型。我们还研究了当去除不形成$K_3$的$d-1$边缘时的一致性。我们使用调和态射将这些图提升到具有相同角度的曲线，因为在这种情况下，由于Coppens和Kato的结果，平面奇异模型不能再使用。
英文摘要：
Let $K_d$ be the complete metric graph on $d$ vertices. We compute the gonality of graphs obtained from $K_d$ by omitting edges forming a $K_h$, or general configurations of at most $d-2$ edges. We also investigate if these graphs can be lifted to curves with the same gonality. We lift the former graphs and the ones obtained by removing up to $d-2$ edges not forming a $K_3$ using models of plane curves with certain singularities. We also study the gonality when removing $d-1$ edges not forming a $K_3$. We use harmonic morphism to lift these graphs to curves with the same gonality because in this case plane singular models can no be longer used due to a result of Coppens and Kato.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
