  In geometric terms, given a singular foliation of the plane, a dicritical
divisor is (whenever it exists) an irreducible component of the exceptional
divisor which is transverse to the foliation. Abhyankar gave recently a
definition of the dicritical divisors which generalize and algebraicize the
geometrical definition in the local case and the polynomial case. Following his
work, we give a geometrical interpretation of these dicritical divisors and new
proofs of their existence.
