Fundamental groups of links of isolated singularities

DOI10.1090/S0894-0347-2014-00807-9zbMath1307.14005arXiv1109.4047OpenAlexW1980823784WikidataQ101165223 ScholiaQ101165223MaRDI QIDQ2922788

Michael Kapovich, János Kollár

Publication date: 15 October 2014

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4047

zbMATH Keywords

isolated singularitynormal crossing singularitiesfoundamental groupgerms of singularities\(R\)-superperfect group.

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Singularities in algebraic geometry (14B05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Singularities of surfaces or higher-dimensional varieties (14J17) Homotopy theory and fundamental groups in algebraic geometry (14F35)

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Uses Software

• Voronoi

Cites Work

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• Boundary complexes and weight filtrations
• Two examples of surfaces with normal crossing singularities
• On isolated Gorenstein singularities
• Fake projective planes
• Caractéristiques d'Euler et groupes fondamentaux des variétés de dimension 4
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Classification of irregular varieties. Minimal models and Abelian varieties. Proceedings of a conference, held in Trento, Italy, 17-21 December, 1990
• The algebraic topology of smooth algebraic varieties
• Projective varieties with non-residually finite fundamental group
• Shafarevich maps and plurigenera of algebraic varieties
• Toroidal varieties and the weak factorization theorem
• On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
• Local systems on proper algebraic \(V\)-manifolds
• Conformally flat metrics on 4-manifolds
• Grothendieck's problems concerning profinite completions and representations of groups.
• Topology and geometry of cohomology jump loci
• Smooth regular neighborhoods
• Algebraization of formal moduli. II: Existence of modifications
• Submersions of open manifolds
• Groups of homotopy spheres. I
• Toroidal geometry and non-archimedean analytic geometry. Application to the homotopy type of certain formal schemes
• Fundamentalgruppe und zweite Bettische Gruppe
• Quotients by finite equivalence relations
• A note on resolution of rational and hypersurface singularities
• On the classification of rank-two representations of quasiprojective fundamental groups
• On a Simplicial Complex Associated to the Monodromy
• Complexes of Groups
• On degenerations of algebraic surfaces
• Embedding up to homotopy type in Euclidean space
• Local Simple Connectedness of Resolutions of Log-Terminal Singularities
• Four-manifolds of large negative deficiency
• Conducteur, descente et pincement
• Nice Efficient Presentions for all Small Simple Groups and their Covers
• Smooth Homology Spheres and their Fundamental Groups
• A simple triangulation method for smooth manifolds
• A Finitely Generated Infinite Simple Group