局部基群的约旦性质

Lukas Braun, Stefano Filipazzi, Joaqu'in Moraga, R. Svaldi
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引用次数: 16

摘要

给出了定维klt奇点的区域基群的Jordan性质。进一步证明了n维klt奇点的有效同时索引1覆盖的存在性。给出了在klt奇点局部类群研究中的一个应用。
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The Jordan property for local fundamental groups
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index one covers for $n$-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.
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