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Complete intersections with given Hilbert polynomials
classification
math.AC
keywords
hilbertcompletedegreesdeterminedgeneralgeneratorspolynomialanswer
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The Hilbert polynomial of a homogeneous complete intersection is determined by the degrees of the generators of the defining ideal. The degrees of the generators are not, in general, determined by the Hilbert polynomial -- but sometimes they are. When? We give some general criteria and completely answer the question up to codimension 6.
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