奇異點的同調群與基本群

Abstract

這篇論文旨在研究三維奇異點的同調群。我們使用相對同調群和長正和序列來計算第一同調群。我們發現，同調群可以通過一些曲線和除子的交點數來計算。我們期望這個方法可以推廣到高維度。

This note aims to investigate the homology groups of threefold singularities using the relative homology groups and long exact sequences to compute the first homology groups. We find that the first homology groups can be computed by the intersection numbers of some curves and divisors. We expect that this method can be applied to higher dimensions.