| In this talk, we
try to generalize Sakai's work on anticanonical models of rational
surfaces to the case of Fano type varieties. More precisely, first we
give a characterization of Fano type varieties using the singularities
of anticanonical models. Secondly, we propose a new decomposition of
the anticanonical map (which can be considered as the -K_X-MMP) of Fano
type varieties using the K_X-MMP. This is a joint work with D.Hwang and J.Park. |