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Titlebook: Ruled Varieties; An Introduction to A Gerd Fischer,Jens Piontkowski Textbook 2001 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschwe

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发表于 2025-3-21 18:58:00 | 显示全部楼层 |阅读模式
书目名称Ruled Varieties
副标题An Introduction to A
编辑Gerd Fischer,Jens Piontkowski
视频video
概述Spezielle Flächen für Studium und Forschung
丛书名称Advanced Lectures in Mathematics
图书封面Titlebook: Ruled Varieties; An Introduction to A Gerd Fischer,Jens Piontkowski Textbook 2001 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschwe
描述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..
出版日期Textbook 2001
关键词Algebraische Geometrie; Differentialgeometrie; Gaussian curvature; Grassmannians; Ruled Varieties; Tangen
版次1
doihttps://doi.org/10.1007/978-3-322-80217-0
isbn_softcover978-3-528-03138-1
isbn_ebook978-3-322-80217-0Series ISSN 0932-7134 Series E-ISSN 2512-7039
issn_series 0932-7134
copyrightFriedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 2001
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发表于 2025-3-22 00:19:19 | 显示全部楼层
0932-7134 d facts about tangent and secant varieties...Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course..978-3-528-03138-1978-3-322-80217-0Series ISSN 0932-7134 Series E-ISSN 2512-7039
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Review from Classical Differential and Projective Geometry,stinctions between the different kinds of three-spaces. Nowadays, we are urged to be more precise: we start in the real affine space ℝ. and end up in complex projective space ℙ.(ℂ). The reader will notice that we try to avoid all kinds of parameterizations by arc length and other typical ..-argument
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Tangent and Secant Varieties,secants. The contributions of F.L. Zak have brought dramatic progress in this very classical part of projective algebraic geometry. Our last chapter is devoted to this topic and will lead to open questions.
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Textbook 2001ry. 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..
发表于 2025-3-22 19:09:27 | 显示全部楼层
Textbook 2001ling 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 geomet
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