Name
Abstract | ||
|---|---|---|
Let I subset of K[x(1),...,x(n),] be a zero-dimensional monomial ideal, and Delta(I) be the simplicial complex whose Stanley-Reisner ideal is the polarization of I. It follows from a result of Soleyman Jahan that Delta(I) is shellable. We give a new short proof of this fact by providing an explicit shelling. Moreover, we show that Delta(I) is even vertex decomposable. The ideal L(I), which is defined to be the Stanley-Reisner ideal of the Alexander dual of Delta(I), has a linear resolution which is cellular and supported on a regular CW-complex. All powers of L(I) have a linear resolution. We compute depth L(I)(k) and show that depth L(I)(k) = n for all k >= n. |
Year | Venue | Keywords |
|---|---|---|
2015 | ELECTRONIC JOURNAL OF COMBINATORICS | depth function,linear quotients,vertex decomposable,whisker complexes,zero-dimensional ideals |
Field | DocType | Volume |
Topology,Discrete mathematics,Combinatorics,Algebra,Vertex (geometry),Simplicial complex,Monomial ideal,Mathematics | Journal | 22 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mina Bigdeli | 1 | 2 | 1.84 |
| Jürgen Herzog | 2 | 0 | 0.34 |
| Takayuki Hibi | 3 | 0 | 0.34 |
| Antonio Macchia | 4 | 0 | 0.68 |