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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE2,volume 13))

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Abstract

In the present Part we shall study some topologico-differential properties of varieties satisfying certain differentiability conditions. This work is a little separated from that exibited in the previous Parts, in view of the fresh methods which we employ. The local properties which we shall obtain can be used to establish a number of algebro-differential properties in the large. This fact we shall here demonstrate with particular reference to the Veronese varieties, and to the question of representing an algebraic form as a linear combination of other forms.

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© 1971 Springer-Verlag Berlin Heidelberg

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Segre, B. (1971). Veronese Varieties and Modules of Algebraic Forms. In: Some Properties of Differentiable Varieties and Transformations. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65006-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-65006-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65008-6

  • Online ISBN: 978-3-642-65006-2

  • eBook Packages: Springer Book Archive

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