The Jordan property for local fundamental groups
Copyright policy )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.
Comments are welcome. v2: final accepted version. To appear in Geometry & Topology. Only minor changes, corrected typos, updated bibliography. 24 pages; v1: 24 pages
- University of Freiburg Germany
- College of New Jersey United States
- École Polytechnique Fédérale de Lausanne EPFL Switzerland
- University of Milan Italy
Homotopy theory and fundamental groups in algebraic geometry, Coverings in algebraic geometry, Singularities in algebraic geometry, local fundamental group, klt singularities, Mathematics - Algebraic Geometry, 516, FOS: Mathematics, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), Primary 14E30, Secondary 14B05, Jordan property
Homotopy theory and fundamental groups in algebraic geometry, Coverings in algebraic geometry, Singularities in algebraic geometry, local fundamental group, klt singularities, Mathematics - Algebraic Geometry, 516, FOS: Mathematics, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), Primary 14E30, Secondary 14B05, Jordan property
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