The exceptional divisor of a divisorial Mori contraction of submaximal length is birational to a projective bundle or a quadric bundle.
Shepherd-Barron, Characterizations of projective space and applications to complex symplectic manifolds
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Divisorial Mori contractions of submaximal length
The exceptional divisor of a divisorial Mori contraction of submaximal length is birational to a projective bundle or a quadric bundle.