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This book gives a comprehensive account of Mori¿s Program, that is an approach to the following problem: classify all the projective varieties X in P^n over C up to isomorphism. Mori¿s Program is a fusion of the so-called Minimal Model Program and the Iitaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation. It is the first book in this extremely important and active area of research and will become a key resource for graduate students.
Mori's Program is a fusion of the so-called Minimal Model Program
and the IItaka Program toward the biregular and/or birational
classification of higher dimensional algebraic varieties. The
author presents this theory in an easy and understandable way with
lots of background motivation. Prerequisites are those covered in
Hartshorne's book "Algebraic Geometry." This is the first book in
this extremely important and active field of research and will
become a key resource for graduate students wanting to get into the
area.
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