000133476 001__ 133476 000133476 005__ 20241125101201.0 000133476 0247_ $$2doi$$a10.1090/spmj/1776 000133476 0248_ $$2sideral$$a137887 000133476 037__ $$aART-2023-137887 000133476 041__ $$aeng 000133476 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, E.$$uUniversidad de Zaragoza 000133476 245__ $$aTorsion divisors of plane curves and Zariski pairs 000133476 260__ $$c2023 000133476 5203_ $$aThis 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. 000133476 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 000133476 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000133476 590__ $$a0.7$$b2023 000133476 592__ $$a0.35$$b2023 000133476 591__ $$aMATHEMATICS$$b218 / 490 = 0.445$$c2023$$dQ2$$eT2 000133476 593__ $$aAlgebra and Number Theory$$c2023$$dQ3 000133476 593__ $$aApplied Mathematics$$c2023$$dQ3 000133476 593__ $$aAnalysis$$c2023$$dQ3 000133476 594__ $$a1.0$$b2023 000133476 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000133476 700__ $$aBannai, Sh. 000133476 700__ $$aShirane, T. 000133476 700__ $$aTokunaga, H. 000133476 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000133476 773__ $$g34, 5 (2023), 721-736$$pST PETERSBURG MATHEMATICAL JOURNAL$$tST PETERSBURG MATHEMATICAL JOURNAL$$x1061-0022 000133476 8564_ $$s291314$$uhttps://zaguan.unizar.es/record/133476/files/texto_completo.pdf$$yVersión publicada 000133476 8564_ $$s1984378$$uhttps://zaguan.unizar.es/record/133476/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000133476 909CO $$ooai:zaguan.unizar.es:133476$$particulos$$pdriver 000133476 951__ $$a2024-11-22-12:11:32 000133476 980__ $$aARTICLE