Morphisms of projective varieties from the viewpoint of minimal model theory (original) (raw)
2003, Dissertationes Mathematicae
AI-generated Abstract
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.
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