论文标题
原木规范阈值的无限结构
Infinitesimal structure of log canonical thresholds
论文作者
论文摘要
我们表明，固定尺寸的日志规范阈值是标准化的。更确切地说，我们表明，固定尺寸$ d $中的任何日志规范阈值均以i）为i）类似于标准和Hyperstandard集合的方式，或II）以尺寸$ \ leq d-2 $记录规范阈值。这提供了对日志规范阈值集的无限结构的准确描述。我们还讨论了最小的对数差异，规范阈值和可抑制阈值的类似行为。
We show that log canonical thresholds of fixed dimension are standardized. More precisely, we show that any sequence of log canonical thresholds in fixed dimension $d$ accumulates in a way which is i) either similar to how standard and hyperstandard sets accumulate, or ii) to log canonical thresholds in dimension $\leq d-2$. This provides an accurate description on the infinitesimal structure of the set of log canonical thresholds. We also discuss similar behaviors of minimal log discrepancies, canonical thresholds, and K-semistable thresholds.
