Some Properties of Differentiable Varieties and Transformations With Special Reference to the Analytic and Algebraic Cases
The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the «Centro Internazionale Mate matico Estivo». The treatment has the character of a monograph, and presents various novel fe...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1971, 1971
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| Edition: | 2nd ed. 1971 |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- One. Differential Invariants of Point and Dual Transformations
- Two. Local Properties of Analytic Transformations at their United Points
- Three. Invariants of Contact and of Osculation. The Concept of Cross-ratio in Differential Geometry
- Four. Principal and Projective Curves of a Surface, and Some Applications
- Five. Some Differential Properties in the Large of Algebraic Curves, their Intersections, and Self-correspondences
- Six. Extensions to Algebraic Varieties
- Seven. Veronese Varieties and Modules of Algebraic Forms
- Eight. Linear Partial Differential Equations
- Nine. Projective Differential Geometry of Systems of Linear Partial Differential Equations
- Ten. Correspondences between Topological Varieties
- Author Index
- Analytic Index