We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.
The Jordan property for local fundamental groups / L. Braun, S. Filipazzi, J. Moraga, R. Svaldi. - In: GEOMETRY & TOPOLOGY. - ISSN 1465-3060. - 26:1(2022), pp. 283-319. [10.2140/gt.2022.26.283]
The Jordan property for local fundamental groups
R. Svaldi
2022
Abstract
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.
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