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FUNDAMENTAL GROUPS OF LINKS OF ISOLATED SINGULARITIES

Author(s): Kapovich, Michael; Kollar, Janos

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dc.contributor.authorKapovich, Michael-
dc.contributor.authorKollar, Janos-
dc.date.accessioned2017-11-21T19:48:39Z-
dc.date.available2017-11-21T19:48:39Z-
dc.date.issued2014-10en_US
dc.identifier.citationKapovich, Michael, Kollar, Janos. (2014). FUNDAMENTAL GROUPS OF LINKS OF ISOLATED SINGULARITIES. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 27 (929 - 952en_US
dc.identifier.issn0894-0347-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr12h2x-
dc.description.abstractWe study fundamental groups of projective varieties with normal crossing singularities and of germs of complex singularities. We prove that for every finitely-presented group $ G$ there is a complex projective surface $ S$ with simple normal crossing singularities only, so that the fundamental group of $ S$ is isomorphic to $ G$. We use this to construct 3-dimensional isolated complex singularities so that the fundamental group of the link is isomorphic to $ G$. Lastly, we prove that a finitely-presented group $ G$ is $ {\mathbb{Q}}$-superperfect (has vanishing rational homology in dimensions 1 and 2) if and only if $ G$ is isomorphic to the fundamental group of the link of a rational 6-dimensional complex singularity.en_US
dc.format.extent929 - 952en_US
dc.language.isoenen_US
dc.relation.ispartofJOURNAL OF THE AMERICAN MATHEMATICAL SOCIETYen_US
dc.rightsAuthor's manuscripten_US
dc.titleFUNDAMENTAL GROUPS OF LINKS OF ISOLATED SINGULARITIESen_US
dc.typeJournal Articleen_US
dc.date.eissued2014-05-22en_US
dc.identifier.eissn1088-6834-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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