The local fundamental group of a Kawamata log terminal singularity is finite

DOI10.1007/s00222-021-01062-0zbMath1479.14029arXiv2004.00522OpenAlexW3187365476MaRDI QIDQ2052219

Lukas Braun

Publication date: 25 November 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00522

zbMATH Keywords

klt singularitylocal fundamental groupregional fundamental groupweakly Fano pair

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Fano varieties (14J45) Homotopy theory and fundamental groups in algebraic geometry (14F35) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (8)

The Jordan property for local fundamental groups ⋮ Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor ⋮ Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities ⋮ A new family of isolated symplectic singularities with trivial local fundamental group ⋮ ACC for local volumes and boundedness of singularities ⋮ Coregularity of Fano varieties ⋮ Iteration of Cox rings of klt singularities ⋮ Kähler-Ricci flow on rational homogeneous varieties

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