5 citations · 14 across the 9 of their papers we have counts for
13 papers
Homological Methods for Hypergeometric Families
Laura Felicia Matusevich, Ezra Miller, Uli Walther
We analyze the behavior of the holonomic rank in families of holonomic systems over complex algebraic varieties by providing homological criteria for rank-jumps in this general set…
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.…
Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
Ezra Miller, Igor Pak
This paper is a study of the interaction between the combinatorics of boundaries of convex polytopes in arbitrary dimension and their metric geometry. Let S be the boundary of a co…
Alternating formulas for K-theoretic quiver polynomials
Ezra Miller
The main theorem here is the K-theoretic analogue of the cohomological `stable double component formula' for quiver functions in [Knutson, Miller, and Shimozono, math.AG/0308142].…
Subword complexes in Coxeter groups
Allen Knutson, Ezra Miller
Let (Π,Σ) be a Coxeter system. An ordered list of elements in Σand an element in Πdetermine a {\em subword complex}, as introduced in our paper on Gröbner geometry of Schubert poly…
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…