HOLONOMY REPRESENTATION OF QUASI-PROJECTIVE LEAVES OF CODIMENSION ONE FOLIATIONS

We prove that a representation of the fundamental group of a quasi-projective manifold into the group of formal diffeomorphisms of one variable either is virtually abelian or, after taking the quotient by its center, factors through an orbicurve.

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Veröffentlicht in:Publicacions Matemàtiques 2019-01, Vol.63 (1), p.295-305
Hauptverfasser: Claudon, Benoît, Loray, Frank, Pereira, Jorge Vitório, Touzet, Frédéric
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that a representation of the fundamental group of a quasi-projective manifold into the group of formal diffeomorphisms of one variable either is virtually abelian or, after taking the quotient by its center, factors through an orbicurve.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT6311910