Publications [#243894] of Ezra Miller

Papers Published

1. Miller, E; Reiner, V, Reciprocal domains and Cohen-Macaulay d-complexes in ℝ^d, Electronic Journal of Combinatorics, vol. 11 no. 2 N (January, 2005), pp. 1-9, ISSN 1077-8926
   (last updated on 2024/04/24)

   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.