Resumen: 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. Idioma: Inglés DOI: 10.1007/s40879-019-00391-y Año: 2020 Publicado en: European Journal of Mathematics 6 (2020), 624–645 ISSN: 2199-6768 Factor impacto SCIMAGO: 0.631 - Mathematics (miscellaneous) (Q2)