Birational Geometry of Projective Varieties and Directed Graphs

New directions in the Minimal Model Program

“…Although we refer to [37] for an introduction to its main techniques, we provide here a gentle introduction to some of its main goals. To this end, as in [13], we use some basic notions of graph theory, aiming to explain some of the tools and objectives in birational geometry. In particular, recall that a directed graph is a set of vertices connected by oriented edges, i.e.…”