In this paper, we prove that the set of all F-pure thresholds of ideals with fixed embedding dimension satisfies the ascending chain condition. As a corollary, given an integer d, we verify the ascending chain condition for the set of all F-pure thresholds on all d-dimensional normal locally complete intersection varieties. In the process of proving these results, we also show the rationality of F-pure thresholds of ideals on non-strongly F-regular pairs.
All Science Journal Classification (ASJC) codes
- General Mathematics