The paper builds a polynomial representation of quantum graphs, proves that finite-rank graphon zero-sets are Zariski-closed, and establishes a weaker Hilbert Nullstellensatz for homomorphism-density kernels.
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Finite rank kernel varieties: A variant of Hilbert's Nullstellensatz for graphons and applications to Hadamard matrices
The paper builds a polynomial representation of quantum graphs, proves that finite-rank graphon zero-sets are Zariski-closed, and establishes a weaker Hilbert Nullstellensatz for homomorphism-density kernels.