On the quasi-monomiality of the $\alpha$- and $\delta$-invariants

Donghyeon Kim; Dae-Won Lee

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arXiv · 2604.18465

On the quasi-monomiality of the $\alpha$- and $\delta$-invariants

Donghyeon Kim·Dae-Won Lee

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Abstract

In this paper, we show that for any projective klt pair $(X,\Delta)$ over an algebraically closed field of characteristic $0$ and any big $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor $L$ on $X$, the invariants $\alpha(X,\Delta,L)$ and $\delta(X,\Delta,L)$ are computed by quasi-monomial valuations, without any uncountability assumption on the base field.

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BibTeX RIS

Donghyeon Kim, Dae-Won Lee. 2026-04-20. On the quasi-monomiality of the $\alpha$- and $\delta$-invariants. https://arxiv.org/abs/2604.18465

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