Anticanonical divisor with good asymptotic base loci

2024/11/07 by Choi, Sung Rak, Jang, Sungwook, Lee, Dae-Won
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.04628

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 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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• Potentially non-klt locus and its applications
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• Anti-pluricanonical systems on Fano varieties
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