For k-uniform hypergraphs the LSS-ideal L_H^K(d) is prime under positive matching decomposition conditions, implying irreducibility of corresponding coordinate sections of the symmetric tensor variety S_{n,k}^d.
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Hypergraph LSS-ideals and coordinate sections of symmetric tensors
For k-uniform hypergraphs the LSS-ideal L_H^K(d) is prime under positive matching decomposition conditions, implying irreducibility of corresponding coordinate sections of the symmetric tensor variety S_{n,k}^d.