Existence des diviseurs dicritiques, d'après S.S.Abhyankar

Details Existence des diviseurs dicritiques, d'après S.S.Abhyankar Existence des diviseurs dicritiques, d'après S.S.Abhyankar

2012-04-03

arxiv.org/abs/1204.0629v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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