Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic
Algebraic Geometry
2026-02-03 v1
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 -modules.
Keywords
Cite
@article{arxiv.2602.00503,
title = {Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic},
author = {Chih-Kuang Lee},
journal= {arXiv preprint arXiv:2602.00503},
year = {2026}
}
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14 pages