96083 20220405150414.0 doi 10.1007/s13348-019-00269-y sideral 115463 ART-2020-115463 eng Artal Bartolo, Enrique Universidad de Zaragoza (orcid)0000-0002-8276-5116 Triangular curves and cyclotomic Zariski tuples 2020 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.873 2020 MATHEMATICS 181 / 330 = 0.548 2020 Q3 T2 MATHEMATICS, APPLIED 207 / 265 = 0.781 2020 Q4 T3 0.714 2020 Mathematics (miscellaneous) 2020 Q2 Applied Mathematics 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Cogolludo-Agustín, José Ignacio Universidad de Zaragoza (orcid)0000-0003-1820-6755 Martín-Morales, Jorge (orcid)0000-0002-6559-4722 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 71, 3 (2020), 427–441 Collect. math. Collectanea Mathematica 0010-0757 225615 http://zaguan.unizar.es/record/96083/files/texto_completo.pdf Postprint 31087 http://zaguan.unizar.es/record/96083/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:96083 articulos driver 2022-04-05-14:35:59 ARTICLE