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Vandermonde matrices for intersection points of curves. (English) Zbl 1176.41003

Multivariate interpolation theorems are discussed from the point of view of extensions of Cayley-Bacharach type results. The proof requires essentially Max Noether’s basis theorem for finitely generated polynomial ideals and the representation of elements of ideals, and certain rank properties of Vandermonde matrices.

MSC:

41A05 Interpolation in approximation theory
41A63 Multidimensional problems
14H50 Plane and space curves
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