Projective Duality and Homogeneous Spaces

• Main Author: Tevelev, Evgueni A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups IV, 133
• Subjects: Mathematics.; Algebraic geometry.; Topological groups.; Lie groups.; Differential geometry.; Topology.; Combinatorics.; Algebraic Geometry.; Topological Groups, Lie Groups.; Differential Geometry.

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 ap...

Table of 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.