133476 20241125101201.0 doi 10.1090/spmj/1776 sideral 137887 ART-2023-137887 eng Artal Bartolo, E. Universidad de Zaragoza (orcid)0000-0002-8276-5116 Torsion divisors of plane curves and Zariski pairs 2023 This paper is devoted to the study of the embedded topology of reducible plane curves having a smooth irreducible component. In previous studies, the relationship between the topology and certain torsion classes in the Picard group of degree zero of the smooth component was implicitly considered. Here this relationship is formulated clearly and a criterion is given for distinguishing the embedded topology in terms of torsion classes. Furthermore, a method is presented for systematically constructing examples of curves where this criterion is applicable, and new examples of Zariski N-tuples are produced. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/semantics/closedAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.7 2023 MATHEMATICS 218 / 490 = 0.445 2023 Q2 T2 0.35 2023 Algebra and Number Theory 2023 Q3 Applied Mathematics 2023 Q3 Analysis 2023 Q3 1.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Bannai, Sh. Shirane, T. Tokunaga, H. 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 34, 5 (2023), 721-736 ST PETERSBURG MATHEMATICAL JOURNAL ST PETERSBURG MATHEMATICAL JOURNAL 1061-0022 291314 http://zaguan.unizar.es/record/133476/files/texto_completo.pdf Versión publicada 1984378 http://zaguan.unizar.es/record/133476/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:133476 articulos driver 2024-11-22-12:11:32 ARTICLE