Reciprocal domains and Cohen-Macaulay d-complexes in ℝd
Publication
, Journal Article
Miller, E; Reiner, V
Published in: Electronic Journal of Combinatorics
January 7, 2005
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.
Duke Scholars
Published In
Electronic Journal of Combinatorics
EISSN
1077-8926
ISSN
1077-8926
Publication Date
January 7, 2005
Volume
11
Issue
2 N
Start / End Page
1 / 9
Related Subject Headings
- Computation Theory & Mathematics
- 0802 Computation Theory and Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Miller, E., & Reiner, V. (2005). Reciprocal domains and Cohen-Macaulay d-complexes in ℝd. Electronic Journal of Combinatorics, 11(2 N), 1–9.
Miller, E., and V. Reiner. “Reciprocal domains and Cohen-Macaulay d-complexes in ℝd.” Electronic Journal of Combinatorics 11, no. 2 N (January 7, 2005): 1–9.
Miller E, Reiner V. Reciprocal domains and Cohen-Macaulay d-complexes in ℝd. Electronic Journal of Combinatorics. 2005 Jan 7;11(2 N):1–9.
Miller, E., and V. Reiner. “Reciprocal domains and Cohen-Macaulay d-complexes in ℝd.” Electronic Journal of Combinatorics, vol. 11, no. 2 N, Jan. 2005, pp. 1–9.
Miller E, Reiner V. Reciprocal domains and Cohen-Macaulay d-complexes in ℝd. Electronic Journal of Combinatorics. 2005 Jan 7;11(2 N):1–9.
Published In
Electronic Journal of Combinatorics
EISSN
1077-8926
ISSN
1077-8926
Publication Date
January 7, 2005
Volume
11
Issue
2 N
Start / End Page
1 / 9
Related Subject Headings
- Computation Theory & Mathematics
- 0802 Computation Theory and Mathematics
- 0101 Pure Mathematics