Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic

Fuente: arXiv
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Autor principal: Lee, Chih-Kuang
Formato: Preprint
Publicado: 2026
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author Lee, Chih-Kuang
author_facet Lee, Chih-Kuang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00503
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic
Lee, Chih-Kuang
Algebraic Geometry
14B05, 14H20(Secondary)
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.
title Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic
topic Algebraic Geometry
14B05, 14H20(Secondary)
url https://arxiv.org/abs/2602.00503