h-vectors of Gorenstein* simplicial posets
| dc.creator | Masuda, Mikiya | |
| dc.date | 2003-05-14 | |
| dc.date | 2004-06-08 | |
| dc.date.accessioned | 2026-07-07T04:58:00Z | |
| dc.date.available | 2026-07-07T04:58:00Z | |
| dc.description | As is well known, h-vectors of simple (or simplicial) convex polytopes are characterized. In fact, those h-vectors must satisfy Dehn-Sommerville equations and some other inequalities. Simple convex polytopes determine Gorenstein* simplicial posets and h-vectors are defined for simplicial posets. It is known that h-vectors of Gorenstein* simplicial posets must satisfy Dehn-Sommerville equations and that every component in the h-vectors must be non-negative. In this paper we will show that h-vectors of Gorenstein* simplicial posets must satisfy one more subtle condition conjectured by R. Stanley and complete characterization of those h-vectors. Our proof is purely algebraic but the idea of the proof stems from topology. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305203 | |
| dc.identifier | http://arxiv.org/abs/math/0305203 | |
| dc.identifier | Adv. Math. 194 (2005), 332--344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67463 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.subject | 05A99; 57R91 | |
| dc.title | h-vectors of Gorenstein* simplicial posets | |
| dc.type | text |