Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable. This book is an introduction to both aspects, the algebraic and differential one. Starting from very elementary facts, the necessary techniques are developed, especially concerning Grassmannians and fundamental forms in a version suitable for complex projective algebraic geometry. Finally, this leads to recent results on the classification of developable ruled varieties and facts about tangent and secant varieties. Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course.
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Prof. Dr. em. Gerd Fischer war viele Jahre Professor fur Mathematik an der Universitat Dusseldorf. Er ist jetzt Gastprofessor an der Fakultat fur Mathematik der TU Munchen. Gerd Fischer ist Autor zahlreicher erfolgreicher Lehrbucher, u.a. der Linearen Algebra (vieweg studium - Grundkurs Mathematik). Dr. Jens Piontkowski ist Hochschuldozent am Mathematischen Institut der Heinrich-Heine-Universitat Dusseldorf.
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Taschenbuch. Zustand: Neu. Neuware -Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable.This book is an introduction to both aspects, the algebraic and differential one. Starting from very elementary facts, the necessary techniques are developed, especially concerning Grassmannians and fundamental forms in a version suitable for complex projective algebraic geometry. Finally, this leads to recent results on the classification of developable ruled varieties and facts about tangent and secant varieties.Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 156 pp. Englisch. Artikel-Nr. 9783528031381
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable.This book is an introduction to both aspects, the algebraic and differential one. Starting from very elementary facts, the necessary techniques are developed, especially concerning Grassmannians and fundamental forms in a version suitable for complex projective algebraic geometry. Finally, this leads to recent results on the classification of developable ruled varieties and facts about tangent and secant varieties.Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course. Artikel-Nr. 9783528031381
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Taschenbuch. Zustand: Neu. Ruled Varieties | An Introduction to Algebraic Differential Geometry | Jens Piontkowski (u. a.) | Taschenbuch | x | Englisch | 2001 | Vieweg & Teubner | EAN 9783528031381 | Verantwortliche Person für die EU: Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, 65189 Wiesbaden, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 106244234
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