Open Access
2019 Holonomy representation of quasi-projective leaves of codimension one foliations
Benoît Claudon, Frank Loray, Jorge Vitório Pereira, Frédéric Touzet
Publ. Mat. 63(1): 295-305 (2019). DOI: 10.5565/PUBLMAT6311910

Abstract

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.

Citation

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Benoît Claudon. Frank Loray. Jorge Vitório Pereira. Frédéric Touzet. "Holonomy representation of quasi-projective leaves of codimension one foliations." Publ. Mat. 63 (1) 295 - 305, 2019. https://doi.org/10.5565/PUBLMAT6311910

Information

Received: 2 June 2017; Revised: 26 October 2017; Published: 2019
First available in Project Euclid: 7 December 2018

zbMATH: 07040970
MathSciNet: MR3908795
Digital Object Identifier: 10.5565/PUBLMAT6311910

Subjects:
Primary: 14F35 , 37F75

Keywords: holonomy representations , Quasi-projective groups

Rights: Copyright © 2019 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.63 • No. 1 • 2019
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