Titel: Ruled Varieties: An Introduction to Algebraic Differential Geometry (Advanced Lectures in Mathematics)
Verlag: Vieweg+Teubner Verlag
Erscheinungsjahr: 2001
Sprache: Englisch
ISBN-10: 3528031387
ISBN-13: 9783528031381
Einband: Softcover
Zustand: New

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Inhaltsangabe

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.

�ber die Autorin bzw. den Autor

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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