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Log canonical pairs with good augmented base loci

  • Caucher Birkar (a1) and Zhengyu Hu (a2)

Abstract

Let $(X,B)$ be a projective log canonical pair such that $B$ is a $\mathbb{Q}$ -divisor, and that there is a surjective morphism $f: X\to Z$ onto a normal variety $Z$ satisfying $K_X+B\sim _{\mathbb{Q}} f^*M$ for some big $\mathbb{Q}$ -divisor $M$ , and the augmented base locus ${\mathbf{B}}_+(M)$ does not contain the image of any log canonical centre of $(X,B)$ . We will show that $(X,B)$ has a good log minimal model. An interesting special case is when $f$ is the identity morphism.

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References

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Log canonical pairs with good augmented base loci

  • Caucher Birkar (a1) and Zhengyu Hu (a2)

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