论文标题
Levi图的代数特性与曲线布置相关
Algebraic properties of Levi graphs associated with curve arrangements
论文作者
论文摘要
在本文中，我们研究了通过LEVI图与平面曲线布置相关的边缘理想的代数特性。使用此类Levi图的组合特性，我们能够描述那些单一代数是Cohen-Macaulay，Buchsbaum和Cohen-Macaulay。我们还针对这些边缘理想的投影尺寸和Castelnuovo-Mumford的规律性来审查。我们为它们提供有效的下限和上限。作为我们研究的副产品，我们通常将无方形模块的各种Buchsbaum特性连接起来。
In the present paper we study algebraic properties of edge ideals associated with plane curve arrangements via their Levi graphs. Using combinatorial properties of such Levi graphs we are able to describe those monomial algebras being Cohen-Macaulay, Buchsbaum, and sequentially Cohen-Macaulay. We also condsider the projective dimension and the Castelnuovo-Mumford regularity for these edge ideals. We provide effective lower and upper bounds on them. As a byproduct of our study we connect, in general, various Buchsbaum properties of squarefree modules.
