  In this Lecture Notes we present, in a sufficiently self contained way, our
contributions and interests in the field of Minimal Model Theory. We study
Fano-Mori spaces, both from the biregular and the birational point of view. For
the former we recall and develop Kawamata's Base Point Free technique and some
of Mori's deformation arguments. For the latter we lean on Sarkisov and
#-Minimal Model Programs. In writing these notes we want to give our point of
view on this area of research. We are not trying to give a treatment of the
whole subject. These notes collect some topics we presented in three
mini-courses which were held in Wykno (Pl) (1999), Recife (Br) (2000) and
Ferrara (It) (2000), respectively.
