标题： 高重数的约化平面曲线的对数规范阈值 显示英文标题

标题： Log canonical thresholds of high multiplicity reduced plane curves

摘要： 我们计算在重数为$d-1$的点处，次数为$d$的约化平面曲线的对数规范阈值。 作为推论，我们描述了所有可能的对数规范阈值，这些阈值小于$2/(d-1)$，适用于次数为$d$的约化平面曲线。 此外，我们计算了所有次数小于6的约化平面曲线的对数规范阈值。 显示英文摘要

摘要： We compute log canonical thresholds of reduced plane curves of degree $d$ at points of multiplicity $d-1$. As a consequence, we describe all possible values of log canonical threshold that are less than $2/(d-1)$ for reduced plane curves of degree $d$. In addition, we compute log canonical thresholds for all reduced plane curves of degree less than 6.