= Alexander–Hirschowitz theorem
{wiki=Alexander–Hirschowitz_theorem}
The Alexander–Hirschowitz theorem is a significant result in algebraic geometry, particularly in the study of the parameters for points in projective space and their relationship to the vanishing of certain polynomial functions. Specifically, the theorem addresses the problem of determining the minimal degree of a non-constant polynomial that vanishes on a given set of points in projective space, an aspect central to the area known as interpolation.
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