Projective Duality and Homogeneous Spaces
Projective Duality and Homogeneous Spaces
复制标题
射影对偶性和同质空间
DOI：
10.1007/b138367
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
E. Tevelev
中科院分区：
文献类型：
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作者：
E. Tevelev
射影对偶性是一个非常经典的概念，自然出现在数学的各个领域，例如代数几何和微分几何、组合数学、拓扑学、分析力学和不变量理论，并且该领域的结果迄今为止分散在文献中。因此，一本专门讨论射影二元性的书的出现是一件期待已久且受欢迎的事情。射影对偶和齐次空间涵盖了对偶簇领域广泛而多样的主题，从微分几何到森理论，从拓扑到代数理论。它提供了非常易读和详尽的说明，并且材料的呈现清晰且令人信服。对于本书的大部分内容来说，唯一的先决条件是基础代数和代数几何。研究生和研究生以及从事代数、几何和分析工作的专业数学家将对本书非常感兴趣。
Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras. It gives a very readable and thorough account and the presentation of the material is clear and convincing. For the most part of the book the only prerequisites are basic algebra and algebraic geometry. This book will be of great interest to graduate and postgraduate students as well as professional mathematicians working in algebra, geometry and analysis.