Publications [#243894] of Ezra Miller

Other Faculty Listings:   Faculty Alphabetically | By Rank | By Area

Peer-reviewed journal articles published

1. Miller, E; Reiner, V. "Reciprocal domains and Cohen-Macaulay d-complexes in ℝ^d." Electronic Journal of Combinatorics 11.2 N (January, 2005): 1-9.
   (last updated on 2024/04/16)

   Abstract:
   We extend a reciprocity theorem of Stanley about enumeration of integer points in polyhedral cones when one exchanges strict and weak inequalities. The proof highlights the roles played by Cohen-Macaulayness and canonical modules. The extension raises the issue of whether a Cohen-Macaulay complex of dimension d embedded piecewise-linearly in ℝd is necessarily a d-ball. This is observed to be true for d ≤ 3, but false for d = 4.