A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections
classification
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catalecticantcombinatorialcompleteintersectionsproofschemessmoothnessalgebraically
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For zero-dimensional complete intersections with homogeneous ideal generators of equal degrees over an algebraically closed field of characteristic zero, we give a combinatorial proof of the smoothness of the corresponding catalecticant schemes along an open subset of a particular irreducible component.
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