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＜電子ブック＞
Projective Duality and Homogeneous Spaces / by Evgueni A. Tevelev
(Encyclopaedia of Mathematical Sciences ; 133)

版	1st ed. 2005.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	XIV, 250 p : online resource
著者標目	*Tevelev, Evgueni A author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Topological groups LCSH:Lie groups LCSH:Geometry, Differential LCSH:Topology LCSH:Discrete mathematics FREE:Algebraic Geometry FREE:Topological Groups and Lie Groups FREE:Differential Geometry FREE:Topology FREE:Discrete Mathematics
一般注記	to Projective Duality -- Actions with Finitely Many Orbits -- Local Calculations -- Projective Constructions -- Vector Bundles Methods -- Degree of the Dual Variety -- Varieties with Positive Defect -- Dual Varieties of Homogeneous Spaces -- Self-dual Varieties -- Singularities of Dual Varieties 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 HTTP:URL=https://doi.org/10.1007/b138367

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