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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… Click to show full abstract
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.
Keywords:
ascending chain;
chain condition;
pure thresholds
Journal Title: Compositio Mathematica
Year Published: 2019
Link to full text (if available)
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Journal Title: Compositio Mathematica
Year Published: 2019
Link to full text (if available)
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recommendations!