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arXiv · 2605.26354

$\mathbf{F}$-jumping numbers can be irrational

Rahul Ajit
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Abstract

Let $k$ be an $F$-finite and infinite field of characteristic $p>2$. We show, there exist infinitely many $F$-finite local domains $(R,\mathfrak{m})$ which are not $\mathbb{Q}$-Gorenstein and $\tau_{\mathrm{b}}(R;\mathfrak{m}^t)$ has all but finitely many \emph{irrational} $F$-jumping numbers.

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Rahul Ajit. 2026-05-25. $\mathbf{F}$-jumping numbers can be irrational. https://arxiv.org/abs/2605.26354

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