Science & Math | Mathematics

Ruled Varieties : An Introduction to Algebraic Differential Geometry

by Gerd Fischer

2020-05-28 14:07:25

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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 on... Read more
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. Less

Book Details

File size9.61x6.69x0.33inches
Print pages142
PublisherVieweg+teubner Verlag
Publication date May 1, 2001
ISBN9783528031381
autor-image
Gerd Fischer
Author
Prof. Dr. Gerd Fischer lehrt am Zentrum Mathematik der TU München. Er ist Autor zahlreicher erfolgreicher Lehrbücher, ergänzend zum  Klassiker „Lineare Algebra“ erschienen das „Lernbuch zur ...

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