Ruled Varieties: An Introduction to Algebraic Differential Geometry (Advanced Lectures in Mathematics) - Softcover

Fischer, Gerd

 
9783528031381: Ruled Varieties: An Introduction to Algebraic Differential Geometry (Advanced Lectures in Mathematics)

Synopsis

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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About the Author

Prof. Dr. em. Gerd Fischer war viele Jahre Professor für Mathematik an der Universität Düsseldorf. Er ist jetzt Gastprofessor an der Fakultät für Mathematik der TU München. Gerd Fischer ist Autor zahlreicher erfolgreicher Lehrbücher, u.a. der Linearen Algebra (vieweg studium - Grundkurs Mathematik).
Dr. Jens Piontkowski ist Hochschuldozent am Mathematischen Institut der Heinrich-Heine-Universität Düsseldorf.

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Other Popular Editions of the Same Title

9783322802187: Ruled Varieties: An Introduction to Algebraic Differential Geometry

Featured Edition

ISBN 10:  3322802183 ISBN 13:  9783322802187
Publisher: Vieweg+Teubner Verlag, 2012
Softcover