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math.AC2004★ 1 cited
Combinatorics of rank jumps in simplicial hypergeometric systems
Laura Felicia Matusevich, Ezra Miller
Let A be an integer (d x n) matrix, and assume that the convex hull conv(A) of its columns is a simplex of dimension d-1. Write \NA for the semigroup generated by the columns of A.…
math.AC2003★ 1 cited
Algorithms for graded injective resolutions and local cohomology over semigroup rings
David Helm, Ezra Miller
Let Q be an affine semigroup generating Z^d, and fix a finitely generated Z^d-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a mi…