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arXiv · 2610.30020

On the gap of thresholds

Yang He·Vyacheslav V. Shokurov
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Abstract

We propose an algorithm to compute the gap numbers of log canonical thresholds, anticanonical thresholds, and $\mathbb{R}$-complementary thresholds for surface pairs with a given rational hyperstandard coefficient set. As an example, we compute these gap numbers for a special hyperstandard set that appears in the effective boundedness of $n$-complements for surface pairs.

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Yang He, Vyacheslav V. Shokurov. 2026-10-21. On the gap of thresholds. https://arxiv.org/abs/2610.30020

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