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math.AG2010
Degenerate singularities of one dimensional Foliations
V. Ferrer, I. Vainsencher
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…
math.AG2010
Polynomial vector fields with algebraic trajectories
Viviana Ferrer, Israel Vainsencher
It is known after Jouanolou that a general holomorphic foliation of degree in projective space has no algebraic leaf. We give formulas for the degrees of the subvarieties o…