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arXiv · 2511.04625

On the behavior of $F$-thresholds with respect to the fibers of blow-ups and $F$-rationality

Ghazaleh FakhriVaighan
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Abstract

We establish a general inequality comparing the $F$-thresholds of a local ring and its associated graded ring. As an application, we deduce that the $F$-rationality of the graded ring descends to the local ring.

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Ghazaleh FakhriVaighan. 2025-11-26. On the behavior of $F$-thresholds with respect to the fibers of blow-ups and $F$-rationality. https://arxiv.org/abs/2511.04625

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