• openAccess   The Poincaré problem, algebraic integrability and dicritical divisors 

      Galindo, Carlos; Montserrat Delpalillo, Francisco José (2015-07-01)
      We solve the Poincaré problem for plane foliations with only one dicritical divisor. Moreover, in this case, we give a simple algorithm that decides whether a foliation has a rational first integral and computes it in the ...