Reciprocal domains and Cohen-Macaulay $d$-complexes in $R^d$
| dc.creator | Miller, Ezra | |
| dc.creator | Reiner, Victor | |
| dc.date | 2004-08-12 | |
| dc.date.accessioned | 2026-07-07T05:11:14Z | |
| dc.date.available | 2026-07-07T05:11:14Z | |
| dc.description | 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 d-space is necessarily a d-ball. This is observed to be true for d at most 3, but false for d=4. | |
| dc.identifier | https://arxiv.org/abs/math/0408169 | |
| dc.identifier | http://arxiv.org/abs/math/0408169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72174 | |
| dc.subject | Combinatorics | |
| dc.subject | Commutative Algebra | |
| dc.subject | 16E65; 52B20; 14M25; 13F55 | |
| dc.title | Reciprocal domains and Cohen-Macaulay $d$-complexes in $R^d$ | |
| dc.type | text |