固定强$F$ -正则芽上$F$-纯阈值的升链条件
Ascending chain condition for $F$-pure thresholds on a fixed strongly $F$-regular germ
摘要：
本文证明了强$F$ -正则对的固定芽上的所有$F$ -纯阈值的集合满足升链条件.作为推论，我们验证了所有$F$ -纯阈值的集合在光滑簇上的升链条件，或者更一般地，在具有驯服商奇点的簇上的升链条件，这是对Blickle，Mustauberg和Smith猜想的肯定回答。
英文摘要：
In this paper, we prove that the set of all $F$-pure thresholds on a fixed germ of a strongly $F$-regular pair satisfies the ascending chain condition. As a corollary, we verify the ascending chain condition for the set of all $F$-pure thresholds on smooth varieties or, more generally, on varieties with tame quotient singularities, which is an affirmative answer to a conjecture given by Blickle, Mustaţǎ and Smith.
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。
