The b-function with respect to weights of hypergeometric ideals of codimension one

摘要

We study the b-function with respect to weights of hypergeometric ideals H-A(beta), where A is an n x (n + 1) matrix of maximal rank. We describe the b-function for any weight vector (-omega, omega) with omega is an element of Rn+1 {0} and any parameter vector beta is an element of C-n.