ENGLISH

Ruled Varieties: An Introduction to Algebraic Differential Geometry

By Prof. Dr. Gerd Fischer , Dr. Jens Piontkowski (auth.)

Book information

Publisher
Vieweg+Teubner Verlag
Year
2001
ISBN
978-3-528-03138-1, 978-3-322-80217-0
DOI
10.1007/978-3-322-80217-0
Language
english
Format
PDF
Filesize
7 MB (7011763 bytes)
Series
Advanced Lectures in Mathematics
Edition
1
Pages
142\152
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Probability Theory and Stochastic Processes; Geome

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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