Ruled Varieties : An Introduction to Algebraic Differential Geometry

Gerd Fischer

ISBN 10: 3528031387 / ISBN 13: 9783528031381

Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, 2001

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783528031381

Bibliographic Details

• Title: Ruled Varieties : An Introduction to Algebraic Differential Geometry
• Publisher: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag
• Publication Date: 2001
• Language: English
• ISBN 10: 3528031387
• ISBN 13: 9783528031381
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 170H x 9D millimeters 240 millimeters width by 170 millimeters height by 9 millimeters depth
• Weight: 278 grams

About this title

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.

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.