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The polar curve of a foliation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℙ</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math>
We study some properties of the polar curve P l ℱ associated to a singular holomorphic foliation ℱ on the complex projective plane ℙ 2 . We prove that, for a generic center l∈ℙ 2 , the curve P l ℱ is irreducible and its singular points are exactly the …