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Bibliografiska uppgifter
Huvudupphovsmän: Chen, Guodu, Han, Jingjun, Xue, Qingyuan
Materialtyp: Preprint
Publicerad: 2024
Ämnen:
Länkar:https://arxiv.org/abs/2409.01310
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Innehållsförteckning:
  • In this paper, we study the theory of complements, introduced by Shokurov, for Calabi-Yau type varieties with the coefficient set $[0,1]$. We show that there exists a finite set of positive integers $\mathcal{N}$, such that if a threefold pair $(X/Z\ni z,B)$ has an $\mathbb{R}$-complement which is klt over a neighborhood of $z$, then it has an $n$-complement for some $n\in\mathcal{N}$. We also show the boundedness of complements for $\mathbb{R}$-complementary surface pairs.