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Statements

Subject Item
dbr:Alexander–Hirschowitz_theorem
rdfs:label
Alexander–Hirschowitz theorem
rdfs:comment
The Alexander–Hirschowitz theorem shows that a specific collection of k double points in the P^r will impose independent types of conditions on homogenous polynomials and the hypersurface of d with many known lists of exceptions. In which case, the classic polynomial interpolation that is located in several variables can be generalized to points that have larger multiplicities.
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dbc:Mathematical_theorems
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1068559749
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dbr:Homogeneous_polynomial dbr:Multiplicities dbc:Mathematical_theorems dbr:Hypersurface dbr:Polynomial_interpolation
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dbo:abstract
The Alexander–Hirschowitz theorem shows that a specific collection of k double points in the P^r will impose independent types of conditions on homogenous polynomials and the hypersurface of d with many known lists of exceptions. In which case, the classic polynomial interpolation that is located in several variables can be generalized to points that have larger multiplicities.
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