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Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links

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Abstract

The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof solving a question posed by Papadima on the characterization of algebraic links that have quasi-projective fundamental groups is provided. The type of quasi-projective obstructions used here are in the spirit of Papadima’s original work.

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, IUMA, Universidad de Zaragoza, c/ Pedro Cerbuna 12, 50009, Zaragoza, Spain

    Enrique Artal Bartolo & José Ignacio Cogolludo-Agustín

  2. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania

    Daniel Matei

Authors
  1. Enrique Artal Bartolo
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  2. José Ignacio Cogolludo-Agustín
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  3. Daniel Matei
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Correspondence to Enrique Artal Bartolo.

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To Ştefan Papadima who has been a true inspiration in our research

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The first two named authors are partially supported by MTM2016-76868-C2-2-P and Gobierno de Aragón (Grupo de referencia “Álgebra y Geometría”) co-funded by Feder 2014–2020 “Construyendo Europa desde Aragón”. The third named author was partially supported by the Romanian Ministry of National Education, CNCS-UEFISCDI, Grant PNII-ID-PCE-2012-4-0156 and FMI 53/10 (Gobierno de Aragón).

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Artal Bartolo, E., Cogolludo-Agustín, J.I. & Matei, D. Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links. European Journal of Mathematics 6, 624–645 (2020). https://doi.org/10.1007/s40879-019-00391-y

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  • DOI: https://doi.org/10.1007/s40879-019-00391-y

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