Degenerate singularities of one dimensional Foliations

2010/03/31 by Viviana Ferrer, Ferrer, V., Israel Vainsencher +1
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1003.6107

Abstract

We give formulas for the degrees of the spaces of foliations in P2 with a dicritical singularity of prescribed order. Blowing up such singularity induces, generically, a foliation with all but finitely many leaves transversal to the exceptional line; we also find the degree of the locus defined by imposing a leaf of total contact with the exceptional line.

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