Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Chih-Kuang Lee
Cited by: 0

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Commutative Algebra and Its Applications Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
31 January 2026
Document type
Preprint