The Cohen-Macaulayness of the bounded complex of an affine oriented matroid

Okazaki Ryota; Yanagawa Kohji

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The Cohen-Macaulayness of the bounded complex of an affine oriented matroid

机译：患有仿射络合物的科恩 - 常规的仿现络合物

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摘要

An affine oriented matroid M is a combinatorial abstraction of an affine hyperplane arrangement. From M, Novik, Postnikov and Sturmfels [11] constructed a squarefree monomial ideal Om in a polynomial ring S, and got beautiful results. Developing their theory, we will show the following.

机译：面向仿射的Matroid M是仿射超平面排列的组合抽象。来自M，Novik，Postnikov和Sturmfels [11]在多项式环S中构建了一个SquareFree单体理想OM，并获得了美好的结果。开发他们的理论，我们将展示以下内容。

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来源
《Journal of Combinatorial Theory, Series A》 |2018年第2018期|共27页
作者
Okazaki Ryota; Yanagawa Kohji;
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作者单位

Univ Teacher Educ Fukuoka Fac Educ Fukuoka 8114192 Japan;

Kansai Univ Dept Math Suita Osaka 5648680 Japan;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Affine oriented matroid; Hyperplane arrangement; Bounded complex; Cohen-Macaulay; Canonical module; Homology manifold;

机译：仿射面向麦芽糖;超平面安排;有界复合物;科恩 - 麦克劳;规范模块;同源性歧管;
入库时间 2022-08-20 08:58:22

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专利

1. The Cohen-Macaulayness of the bounded complex of an affine oriented matroid [J] . Okazaki Ryota, Yanagawa Kohji Journal of Combinatorial Theory, Series A . 2018,第期

机译：患有仿射络合物的科恩 - 常规的仿现络合物
2. The active bijection in graphs, hyperplane arrangements, and oriented matroids, 1: The fully optimal basis of a bounded region [J] . Gioan E, Vergnas ML European journal of combinatorics . 2009,第8期

机译：图，超平面排列和定向拟阵中的主动双射，1：有界区域的完全最佳基础
3. On Tope Graphs of Complexes of Oriented Matroids [J] . Knauer Kolja, Marc Tilen Discrete & computational geometry . 2020,第2期

机译：取向络合物复合物的图表
4. On The Complexity of Bounded Time Reachability for Piecewise Affine Systems [C] . Hugo Bazille, Olivier Bournez, Walid Gomaa, International workshop on reachability problems . 2014

机译：分段仿射系统有界时间可达性的复杂性
5. Duality of higher order non -Euclidean property for oriented matroids [D] . Junes, Leandro 2008

机译：取向拟阵的高阶非欧几里德性质的对偶
6. Graphs and Matroids Weighted in a Bounded Incline Algebra [O] . Ling-Xia Lu, Bei Zhang -1

机译：有界斜代数中的图和拟阵加权
7. The Cohen-Macaulayness of the bounded complex of an affine oriented matroid [O] . Okazaki, Ryota, Yanagawa, Kohji 2017

机译：Cohen-macaulayness是一个以仿射为导向的有界复合体拟阵
8. Submodular Set Functions, Matroids and the Greedy Algorithm: Tight Worst-Case Bounds and Some Generalizations of the Rado-Edmonds Theorem. [R] . Conforti, M., Cornuejols, G. 1983

机译：子模集函数，拟阵和贪心算法：最差 - 最坏情况界和Rado-Edmonds定理的一些推广。

The Cohen-Macaulayness of the bounded complex of an affine oriented matroid

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