Projective duality and homogeneous spaces
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. TOC:1. Introduction to Projective Duality.- 2. Actions with Finitely Many Orbits.- 3. Local Calculations.- 4. Projective Constructions.- 5. Vector Bundles Methods.- 6. Degree of the Dual Variety.- 7. Varieties with Positive Defect.- 8. Dual Varieties of Homogeneous Spaces.- 9. Self-Dual Varieties.- 10. Singularities of Dual Varieties.- References.- Index
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540228981
3540228985
- Maße
-
24 cm
- Umfang
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XIV, 250 S.
- Sprache
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Englisch
- Anmerkungen
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Literaturverz. S. 233 - 243
- Erschienen in
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Encyclopaedia of mathematical sciences ; 4[...]
- Klassifikation
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Mathematik
- Schlagwort
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Projektive Varietät
Dualität
Homogener Raum
- Ereignis
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Veröffentlichung
- (wo)
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Berlin, Heidelberg, New York
- (wer)
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Springer
- (wann)
-
2005
- Urheber
-
Tevelev, Evgueni A.
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 14:24 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Tevelev, Evgueni A.
- Springer
Entstanden
- 2005
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