Complex Algebraic Surfaces - Arnaud Beauville

Complex Algebraic Surfaces

Arnaud Beauville

出版时间

1996-06-28

ISBN

9780521498425

评分

★★★★★

标签

文学

书籍介绍

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.

用户评论
现代数学的一个方向是围绕着数学对象的分类展开的:代数曲面的分类,有限单群分类,三维四维流形分类。 Enriques 分类复代数曲面。相交理论,双有理映射的结构:每个曲面从极小曲面通过有限个爆破(被唐纳森的不变量理论改变)得到。基本分类是从阿蒂亚的黎曼罗赫指标定理的推论
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