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Projective Duality and Homogeneous Spaces

  • Evgueni A. Tevelev

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 133)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Pages 57-72
  3. Pages 89-108
  4. Pages 207-217
  5. Back Matter
    Pages 233-250

About this book

Introduction

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.

Keywords

Combinatorics differential geometry discriminant dual variety homogeneous spaces projective duality projective geometry vector bundle

Authors and affiliations

  • Evgueni A. Tevelev
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b138367
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-22898-1
  • Online ISBN 978-3-540-26957-1
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site