Projective classification of rational \(\mathbb {C}\mathbf {P}^{1}\)-mappings

  • Konovenko NadiiaEmail author
  • Lychagin Valentin


We study the orbits of various \(\mathbf {SL}_{2}\left( \mathbb {C}\right) \)-actions on the spaces of rational \(\mathbb {C}\mathbf {P}^{1}\)-mappings. The fields of rational differential invariants and the corresponding ordinary differential equations that describe orbits are found.


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Conflict of interest

The authors declare that they have no conflict of interest.


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Authors and Affiliations

  1. 1.Odessa National Academy of Food TechnologiesOdessaUkraine
  2. 2.University of TromsøTromsøNorway
  3. 3.V.A. Trapeznikov Institute of Control Sciences RASMoscowRussia

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