148110 20250114155432.0 doi 10.1002/mana.202000319 sideral 134250 ART-2023-134250 eng Artal Bartolo, Enrique Universidad de Zaragoza (orcid)0000-0002-8276-5116 Torsion divisors of plane curves with maximal flexes and Zariski pairs 2023 There is a close relationship between the embedded topology of complex plane curves and the (group-theoretic) arithmetic of elliptic curves. In a recent paper, we studied the topology of some arrangements of curves that include a special smooth component, via the torsion properties induced by the divisors in the special curve associated to the remaining components, which is an arithmetic property. When this special curve has maximal flexes, there is a natural isomorphism between its Jacobian variety and the degree zero part of its Picard group. In this paper, we consider curve arrangements that contain a special smooth component with a maximal flex and exploit these properties to obtain Zariski tuples, which show the interplay between topology, geometry, and arithmetic. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.8 2023 MATHEMATICS 179 / 490 = 0.365 2023 Q2 T2 0.625 2023 Mathematics (miscellaneous) 2023 Q2 1.5 2023 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Bannai, Shinzo Shirane, Taketo Tokunaga, Hiro-o 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 296, 6 (2023), 2214-2235 Math. Nachr. Mathematische Nachrichten 0025-584X 699181 http://zaguan.unizar.es/record/148110/files/texto_completo.pdf Preprint 1705547 http://zaguan.unizar.es/record/148110/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:148110 articulos driver 2025-01-13-14:27:59 ARTICLE