The optimal constant in the bend-and-break inequality for foliations of rank r on normal projective varieties is r+1.
Koll'ar, Rational curves on algebraic varieties, Ergeb.Math.Grenzgeb.(3) 32
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Optimal bend-and-break for foliations
The optimal constant in the bend-and-break inequality for foliations of rank r on normal projective varieties is r+1.