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arXiv · 2602.00503

Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic

Chih-Kuang Lee
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Abstract

We generalize the formula for the log canonical threshold(LCT) of plane curves over the complex numbers to arbitrary characteristics. Our proof relies purely on valuation theory, instead of on the theory of $D$-modules.

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Chih-Kuang Lee. 2026-01-31. Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic. https://arxiv.org/abs/2602.00503

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