论文标题
Kawamata日志终端的本地基本组是有限的
The local fundamental group of a Kawamata log terminal singularity is finite
论文作者
论文摘要
我们证明了Kollár的猜想表明，KLT奇异性$ x $的本地基本组是有限的。实际上，我们证明了一个更强有力的声明，即$ x $的邻里平稳轨迹的基本组是有限的。我们将其称为区域基本小组。由于证明是通过局部到全球感应的，因此我们同时确认了弱狂热对的光滑基因座的Orbifold基本组的有限性。
We prove a conjecture of Kollár stating that the local fundamental group of a klt singularity $x$ is finite. In fact, we prove a stronger statement, namely that the fundamental group of the smooth locus of a neighbourhood of $x$ is finite. We call this the regional fundamental group. As the proof goes via a local-to-global induction, we simultaneously confirm finiteness of the orbifold fundamental group of the smooth locus of a weakly Fano pair.
