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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Main Author: Segre, Beniamino
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1971, 1971
Edition:2nd ed. 1971
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics
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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