000148110 001__ 148110
000148110 005__ 20250114155432.0
000148110 0247_ $$2doi$$a10.1002/mana.202000319
000148110 0248_ $$2sideral$$a134250
000148110 037__ $$aART-2023-134250
000148110 041__ $$aeng
000148110 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, Enrique$$uUniversidad de Zaragoza
000148110 245__ $$aTorsion divisors of plane curves with maximal flexes and Zariski pairs
000148110 260__ $$c2023
000148110 5060_ $$aAccess copy available to the general public$$fUnrestricted
000148110 5203_ $$aThere 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.
000148110 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P
000148110 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000148110 590__ $$a0.8$$b2023
000148110 591__ $$aMATHEMATICS$$b179 / 490 = 0.365$$c2023$$dQ2$$eT2
000148110 592__ $$a0.625$$b2023
000148110 593__ $$aMathematics (miscellaneous)$$c2023$$dQ2
000148110 594__ $$a1.5$$b2023
000148110 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000148110 700__ $$aBannai, Shinzo
000148110 700__ $$aShirane, Taketo
000148110 700__ $$aTokunaga, Hiro-o
000148110 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000148110 773__ $$g296, 6 (2023), 2214-2235$$pMath. Nachr.$$tMathematische Nachrichten$$x0025-584X
000148110 8564_ $$s699181$$uhttps://zaguan.unizar.es/record/148110/files/texto_completo.pdf$$yPreprint
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000148110 951__ $$a2025-01-13-14:27:59
000148110 980__ $$aARTICLE