journal article
May 28, 2019
Ascending chain condition for -pure thresholds on a fixed strongly -regular germ
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.
$F$
-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.
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References
24
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Hernández "Local m-adic constancy of F-pure thresholds and test ideals" Math. Proc. Cambridge Philos. Soc. (2017)
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Metrics
3
Citations
24
References
Details
- Published
- May 28, 2019
- Vol/Issue
- 155(6)
- Pages
- 1194-1223
- License
- View
Cite This Article
Kenta Sato (2019). Ascending chain condition for -pure thresholds on a fixed strongly -regular germ. Compositio Mathematica, 155(6), 1194-1223. https://doi.org/10.1112/s0010437x19007358
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