A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections
arXiv:1706.08645
Abstract
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.
To appear in the Annals of Combinatorics