Projective Duality and Homogeneous Spaces (Encyclopaedia of Mathematical Sciences)
Edition: 1 edition
Publisher: Springer
Published: July 21, 2005
Language: eng
Format: Hardcover
Number of pages: 250
ISBN-13: 9783540228981
Subjects: Functional analysis; Science/Mathematics; Geometry - Algebraic; Mathematics; Computers - General Information; Computer Science; Group Theory; Mathematics / Geometry / Algebraic; discriminant; dual variety; homogeneous spaces; projective duality; projective geometry; Discrete Mathematics
Description: 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.