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arXiv · 1204.0629

Existence des diviseurs dicritiques, d'apr\`es S.S.Abhyankar

Vincent Cossart·Mickaël Matusinski·Guillermo Moreno-Socias
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Abstract

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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Vincent Cossart, Mickaël Matusinski, Guillermo Moreno-Socias. 2012-04-03. Existence des diviseurs dicritiques, d'apr\`es S.S.Abhyankar. https://doi.org/10.4171/149-1/6

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