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arXiv · 1809.04839

Toward the equivalence of the ACC for $a$-log canonical thresholds and the ACC for minimal log discrepancies

Jihao Liu
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Abstract

In this paper, we show that Shokurov's conjectures on the ACC for $a$-lc thresholds and the ACC for minimal log discrepancies are equivalent in the interval $[0,1)$. That is, the conjecture on ACC for $a$-lc thresholds holds for every $0\leq a<1$ if and only if the set of minimal log discrepancies for pairs with DCC coefficients do not have an accumulation point from below which belongs to $[0,1)$.

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Jihao Liu. 2018-09-13. Toward the equivalence of the ACC for $a$-log canonical thresholds and the ACC for minimal log discrepancies. https://arxiv.org/abs/1809.04839

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