A combinatorial analog of GKZ theory is constructed for realizable matroids, defining the principal matroid determinant via resultants and introducing a holonomic matroid hypergeometric system whose singular locus is conjectured to coincide with it.
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Principal Matroid Determinants
A combinatorial analog of GKZ theory is constructed for realizable matroids, defining the principal matroid determinant via resultants and introducing a holonomic matroid hypergeometric system whose singular locus is conjectured to coincide with it.