We prove a relative version of the theorem of Cho, Miyaoka and Shepherd-Barron: a Mori fibre space of maximal length is birational to a projective bundle.
Cite this article
Andreas Höring, Carla Novelli, Mori Contractions of Maximal Length. Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, pp. 215–228DOI 10.4171/PRIMS/103