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arXiv · 2411.04628

Anticanonical divisor with good asymptotic base loci

Sung Rak Choi·Sungwook Jang·Dae-Won Lee
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Abstract

In this paper, we give a characterization of Fano type varieties in terms of the asymptotic base loci of $-(K_X+Δ)$. We also show that for a potentially lc pair $(X,Δ)$, if no plc centers are contained in the augmented base locus $\mathbf{B}_{+}(-(K_X+Δ))$, then $(X,Δ)$ has a good $-(K_X+Δ)$-minimal model. This gives an analogous result of Birkar--Hu on the existence of good minimal models.

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BibTeXRIS

Sung Rak Choi, Sungwook Jang, Dae-Won Lee. 2025-06-16. Anticanonical divisor with good asymptotic base loci. https://arxiv.org/abs/2411.04628

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