Torsion divisors of plane curves with maximal flexes and Zariski pairs

There is a close relationship between the embedded topology of complex plane curves and (group-theoretic) arithmetic elliptic curves. In recent paper, we studied some arrangements that include special smooth component, via torsion properties induced by divisors in curve associated to remaining components, which an property. When this has maximal flexes, there natural isomorphism its Jacobian variety degree zero part Picard group. consider contain component with flex exploit these obtain Zariski tuples, show interplay topology, geometry, arithmetic.