Introduction to the Mori Program

Introduction to the Mori Program
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DOI:
10.1007/978-1-4757-5602-9
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发表时间:
2002
影响因子:
3.1
通讯作者:
K. Matsuki
K. Matsuki
中科院分区:
数学1区
文献类型:
--
作者:
K. Matsuki

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Mori 程序是所谓的最小模型程序和 IItaka 程序的融合,旨在实现高维代数簇的双正则和/或双有理分类。作者以简单易懂的方式介绍了这一理论,并有很多背景动机。先决条件是 Hartshorne 的书《代数几何》中介绍的。这是这个极其重要和活跃的研究领域的第一本书,并将成为想要进入该领域的研究生的关键资源。
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.