Higher F-rational singularities

Tatsuro Kawakami; Jakub Witaszek

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arXiv · 2604.12362

Higher F-rational singularities

Tatsuro Kawakami·Jakub Witaszek

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Abstract

We introduce higher $F$-rationality generalising $F$-rationality. We prove that a normal variety over a field of characteristic zero is $m$-rational if and only if it is $m$-$F$-rational after reduction modulo a sufficiently large prime $p$. Additionally, we establish new results on the logarithmic extension of forms.

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BibTeX RIS

Tatsuro Kawakami, Jakub Witaszek. 2026-04-14. Higher F-rational singularities. https://arxiv.org/abs/2604.12362

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