Alexander–Hirschowitz theorem
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The Alexander–Hirschowitz theorem shows that a specific collection of k double points in the projective space Pr will impose independent types of conditions on homogenous polynomials and the hypersurface of dimension d with many known lists of exceptions.[1] In which case, the classic polynomial interpolation that is located in several variables can be generalized to points that have larger multiplicities.
References
- ^ Brambilla, Maria Chiara; Ottaviani, Giorgio (2007-09-10). "On the Alexander–Hirschowitz Theorem". arXiv:math/0701409.
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