Morphisms of projective varieties from the viewpoint of minimal model theory (original) (raw)

The paper explores the implications of Minimal Model Theory (MMP) in the classification and analysis of morphisms of projective varieties, particularly focusing on Fano-Mori contractions. It reviews foundational aspects of MMP, establishes critical definitions, and develops techniques like the Base Point Free method. Through a structured approach, the work connects theoretical frameworks with practical applications in higher-dimensional algebraic geometry, aiming to clarify the processes and properties vital to understanding Fano-Mori spaces and their behavior.