Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic
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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.
💡 Research Summary
The paper “Log Canonical Thresholds for Plane Curves in Arbitrary Characteristic” extends the classical formula for the log canonical threshold (LCT) of an analytically irreducible plane curve from the complex setting to any algebraically closed field, regardless of its characteristic. In the complex case, Kollár’s example states that for a power‑series (f\in\mathbb C
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