On the quasi-monomiality of the $α$- and $δ$-invariants
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913141739225088 |
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| author | Kim, Donghyeon Lee, Dae-Won |
| author_facet | Kim, Donghyeon Lee, Dae-Won |
| contents | In this paper, we show that for any projective klt pair $(X,Δ)$ over an algebraically closed field of characteristic \(0\) and any big $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor $L$ on $X$, the invariants $α(X,Δ,L)$ and $δ(X,Δ,L)$ are computed by quasi-monomial valuations, without any uncountability assumption on the base field. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_18465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the quasi-monomiality of the $α$- and $δ$-invariants Kim, Donghyeon Lee, Dae-Won Algebraic Geometry 14E05, 14E30 In this paper, we show that for any projective klt pair $(X,Δ)$ over an algebraically closed field of characteristic \(0\) and any big $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor $L$ on $X$, the invariants $α(X,Δ,L)$ and $δ(X,Δ,L)$ are computed by quasi-monomial valuations, without any uncountability assumption on the base field. |
| title | On the quasi-monomiality of the $α$- and $δ$-invariants |
| topic | Algebraic Geometry 14E05, 14E30 |
| url | https://arxiv.org/abs/2604.18465 |