5 citations · 14 across the 9 of their papers we have counts for
5 papers · 1 filter
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.…
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…
Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions
Ezra Miller
Every quotient R/I of a semigroup ring R by a radical monomial ideal I has a unique minimal injective-like resolution by direct sums of quotients of R modulo prime monomial ideals.…
Generic and Cogeneric Monomial Ideals
Ezra Miller, Bernd Sturmfels, Kohji Yanagawa
Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions derived from simplicial complexes. For a generic m…
Alexander Duality for Monomial Ideals and Their Resolutions
Ezra Miller
Alexander duality has, in the past, made its way into commutative algebra through Stanley-Reisner rings of simplicial complexes. This has the disadvantage that one is limited to sq…