I saw a result in notes on by Olivier Debarre (Rational Curves on Hypersurfaces, Lecture notes for the II Latin American School of Algebraic Geometry and Applications 1-12 of June 2015 in Cabo Frio, Brazil) that if $ Z $ is a hypersurface in $ \mathbb{P}^{n}_{\mathbb{C}} $, of degree less than or equal to $ n $, then $ Z $ is uniruled, even if $ Z $ is not smooth. Does anyone know a reference for this fact. All of the books I have looked in use smoothness. If anyone knows a reference, I would greatly appreciate it. Thank you.
Does anyone know a reference in the literature regrading a proof that every projective hypersurface with vanishing canonical divisor is uniruled
schemer
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