On the Poincaré Problem for Foliations with Canonical Sheaf Defining a Morphism onto a Normal Surface

Abstract

In this paper we reduce the Poincaré Problem for foliations in P to a problem of postulation of plane curves of degree m − 1, with m denoting the degree of the foliation. In the cases in which we can assure a solution for the Poincaré Problem the bound for the degree of the first integral depends only on the degree of the foliation. An intermediate result… (More)

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