Introduction to the mori program
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TextLanguage: ENGLISH Series: UniversitextPublication details: New York : Springer, 2002. Description: xxiii, 478p. : ill. ; 25 cmISBN: 9780387984650Subject(s): Algebraic varieties -- Classification theory | Algebraic geometry | AlgebraDDC classification: 514.74 Online resources: Table of contents | Reviews Summary: The purpose of this book is to give a comprehensible account of what is called the Mori Program, a fusion of the so-called Minimal Model Program and the litaka 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: the Enriques classification of algebraic surfaces is given in the framework of the Mori Program. Prerequisites are those covered in Robin Hartshorne's book, Algebraic Geometry. It is the first "friendly" book in this extremely important and active area of research and will become a key resource for graduate students wanting to enter this area.
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Includes bibliographical references (p. [455]-468) and index.
The purpose of this book is to give a comprehensible account of what is called the Mori Program, a fusion of the so-called Minimal Model Program and the litaka 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: the Enriques classification of algebraic surfaces is given in the framework of the Mori Program. Prerequisites are those covered in Robin Hartshorne's book, Algebraic Geometry. It is the first "friendly" book in this extremely important and active area of research and will become a key resource for graduate students wanting to enter this area.
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