Ascending chain condition for F-pure thresholds with fixed embedding dimension

2018/05/18 by Sato, Kenta · 1 citation
#13A35 #14B05 #14M10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.07066

Abstract

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 l.c.i. 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.

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• A Criterion for Perfectoid Purity and the Rationality of Thresholds

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