论文标题

弱的Fano对的有界补充,与α-不变性和卷有限制

Bounded Complements for Weak Fano Pairs with Alpha-invariants and Volumes Bounded Below

论文作者

Chen, Weichung

论文摘要

我们表明,固定的尺寸KLT弱的Fano对,具有alpha-Invariants和卷,从$ 0 $和属于固定的DCC Set $ S $形式的边界的边界的系数。此外,这样的对承认一个强$ε$ -lc $ \ mathbb {r} $ - 补充某些固定的$ε> 0 $。

We show that fixed dimensional klt weak Fano pairs with alpha-invariants and volumes bounded away from $0$ and the coefficients of the boundaries belonging to a fixed DCC set $S$ form a bounded family. Moreover, such pairs admit a strong $ε$-lc $\mathbb{R}$-complement for some fixed $ε>0$.

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