On geometric invariants of plane curves


  • Catarina Mendes de Jesus Sánchez UFJF
  • Pouya Mehdipour UFV
  • Mostafa Salarinoghabi UFV




Geometric modeling, plane curves, inflections, vertices, graphs of stable maps.


In this paper, we study some geometric invariants of closed plane curves, that can help us classify these curves. We focus on two invariants: the number of inflection points and the number of vertex points. We intend to end models of curves with a number of predefined double points and with the smallest possible number of inflection points and vertex points.


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