Introduction to the Mori Program
Author(s)
Bibliographic Information
Introduction to the Mori Program
（Universitext）
Springer, c2002
Available at / 58 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:516.353/M4292070552225
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Note
Includes bibliographical references (p. [455]-468) and index
Description and Table of Contents
Description
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.
Table of Contents
Introduction * Birational Geometry of Surfaces * Logarithmic Category * Overview of the Mori Program * Singularities * Vanishing Theorems * Base Point Freeness of Linear Systems * Cone Theorem. Contraction Theorem * Flip * Cone Theorem Revisited * Logarithmic Mori's Program * Birational Relations among Minimal Models * Birational Relations among Mori Fiber Spaces * Birational Geometry of Toric Varieties
by "Nielsen BookData"