Resumen de Detection of Special Curves Via the Double Resultant

Antoni Ferragut, Johanna Denise García Saldaña, Armengol Gasull i Embid

• We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.