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arXiv · 2502.17148

Extending one-forms on $F$-regular singularities

Tatsuro Kawakami·Kenta Sato
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Abstract

We prove the logarithmic extension theorem for one-forms on strongly $F$-regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-dimensional klt singularities in characteristic $p>41$. To this end, we reduce the problem to the logarithmic extension theorem for two-dimensional klt singularities with imperfect residue fields using a technique based on Cartier operators.

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Tatsuro Kawakami, Kenta Sato. 2026-04-05. Extending one-forms on $F$-regular singularities. https://arxiv.org/abs/2502.17148

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