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Projective Duality and Homogeneous Spaces

By: Tevelev, Evgueni A [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups IV: 133Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XIV, 250 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540269571.Subject(s): Mathematics | Algebraic geometry | Topological groups | Lie groups | Differential geometry | Topology | Combinatorics | Mathematics | Algebraic Geometry | Topological Groups, Lie Groups | Differential Geometry | Topology | CombinatoricsDDC classification: 516.35 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK6409
Total holds: 0

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.

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