Titlebook: Some Properties of Differentiable Varieties and Transformations; With Special Referen Beniamino Segre Book 19571st edition Springer-Verlag

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Book 19571st editionr 1955) by invitation of the «Centro Internazionale Mate­ matico Estivo». The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter. Of the nine par

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Veronese Varieties and Modules of Algebraic Forms,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 . varieties, and to the question of representing an algebraic form as a linear combination of other forms.

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Linear Partial Differential Equations,set of algebraic varieties, considered in Part Seven and, occasionally, in Parts Five and Six. This arises essentially from the fact that there exists an isomorphism between the commutative ring of linear differential operators with constant coefficients and the ring of polynominals in a finite number of indeterminates.

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Local Properties of Analytic Transformations at their United Points,ve rise. Some of the properties we shall be able to transfer, without difficulty, to the case of the local study of the united points of differentiable transformations of a differentiable variety into itself ; but we shall not dwell on this at present.

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