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Arrangements of inflectional lines, hyperosculating conics, and plane cubics

Volume 72 / 2024

Artur Bromboszcz Bulletin Polish Acad. Sci. Math. 72 (2024), 61-66 MSC: Primary 14N25; Secondary 14C20, 32S25 DOI: 10.4064/ba240119-22-5 Published online: 19 June 2024

Abstract

We study some arrangements of inflectional lines, hyperosculating conics, and a nodal plane cubic that are free. Moreover, we study weak combinatorics of arrangements consisting of lines, conics, and elliptic curves, providing natural constraints on them.

Authors

  • Artur BromboszczDepartment of Mathematics
    University of the National Education Commission Kraków
    30-084 Kraków, Poland
    e-mail

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