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The space of codimension one holomorphic foliations of degree 1 in aprojective space has an irreducible component whose general element is alogarithmic differential 1-form with simple poles in three hyperplanes. Wecompute its projective degree by resolving its rational parametrization mapthrough succesive blow-ups with smooth centers.

Degree of logarithmic foliations of type (1,1,1)