Convex-ear decompositions and the flag h-vector
J Schweig - arXiv preprint arXiv:1006.2561, 2010 - arxiv.org
arXiv preprint arXiv:1006.2561, 2010•arxiv.org
We prove a theorem allowing us to find convex-ear decompositions for rank-selected
subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then
apply this theorem to geometric lattices and face posets of shellable complexes, obtaining
new inequalities for their h-vectors. Finally, we use the latter decomposition to prove new
inequalities for the flag h-vectors of face posets of Cohen-Macaulay complexes.
subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then
apply this theorem to geometric lattices and face posets of shellable complexes, obtaining
new inequalities for their h-vectors. Finally, we use the latter decomposition to prove new
inequalities for the flag h-vectors of face posets of Cohen-Macaulay complexes.
We prove a theorem allowing us to find convex-ear decompositions for rank-selected subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then apply this theorem to geometric lattices and face posets of shellable complexes, obtaining new inequalities for their h-vectors. Finally, we use the latter decomposition to prove new inequalities for the flag h-vectors of face posets of Cohen-Macaulay complexes.
arxiv.org
以上显示的是最相近的搜索结果。 查看全部搜索结果