doi:10.1007/s13348-019-00269-yengArtal Bartolo, EnriqueCogolludo-Agustín, José IgnacioMartín-Morales, JorgeTriangular curves and cyclotomic Zariski tuplesART-2020-115463The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number field whose complement have the same abelian fundamental group, but are non-homeomorphic. In particular, for any d=4 we find Zariski (¿d2¿+1)-tuples parametrized by the d-roots of unity up to complex conjugation. As a consequence, for any divisor m of d, m¿1,2,3,4,6, we find arithmetic Zariski ¿(m)2-tuples with coefficients in the corresponding cyclotomic field. These curves have abelian fundamental group and they are distinguished using a linking invariant.2020http://zaguan.unizar.es/record/9608310.1007/s13348-019-00269-yhttp://zaguan.unizar.es/record/96083oai:zaguan.unizar.es:96083info:eu-repo/grantAgreement/ES/DGA/E22-17Rinfo:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-PCollectanea Mathematica 71, 3 (2020), 427–441All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess