Ruled Varieties
An Introduction to Algebraic Differential Geometry
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Word Count
35,250 words, Guess
Page Count
141 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL12768447M
- ISBN-139783528031381
- ISBN-103528031387
- OCLC Control Number48399774
- OCLC Control Numberruledvarietiesin0000fisc
Classifications
- LCCQA564-609
Description
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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