论文标题
棋盘综合大楼的方面理想
The facet ideals of chessboard complexes
论文作者
论文摘要
在本文中,我们描述了面板板复合物的facet理想$ \ f(δ__{m,n})的不可约解的分解,并用$ n \ geq m $ $ n \ geq m $。我们还提供了一些较低的界限,以实现facet理想$ \ f(δ_{m,n})$的深度和规律性。当$ M \ LEQ 3 $时,我们证明可以获得这些下限。
In this paper we describe the irreducible decomposition of the facet ideal $\F(Δ_{m,n})$ of the chessboard complex $Δ_{m,n}$ with $n\geq m$. We also provide some lower bounds for depth and regularity of the facet ideal $\F(Δ_{m,n})$. When $m\leq 3$, we prove that these lower bounds can be obtained.