Some characterizations of freeness of hyperplane arrangement
Some characterizations of freeness of hyperplane arrangement
复制标题
超平面排列自由度的一些表征
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
M. Yoshinaga
中科院分区：
文献类型：
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作者：
M. Yoshinaga
我们将考虑超平面排列的自由性的一些特征，包括以下性质：局部自由性，特征多项式的因式分解和限制多重排列的自由性。在3-排列的情况下，自由度的特征在于特征多项式的因式分解及其根与限制多重排列的指数的重合。在高维情况下，它具有一种局部自由性和限制多重排列的自由性。作为应用，我们证明了Edelman和Reiner所证明的某些排列的自由性.
We will consider some characterizations of freeness of a hyperplane arrangement, in terms of the following properties: locally freeness, factorization of characteristic polynomial and freeness of restricted multiarrangement. In the case of 3-arrangement, freeness is characterized by factorization of characteristic polynomial and coincidence of its roots with exponents of restricted multiarrangement. In the case of higher dimension, it is characterized by a kind of locally freeness and freeness of restricted multiarrangement. As an application, we prove the freeness of certain arrangements which is conjectured by Edelman and Reiner.
DOI：
10.1073/pnas.93.6.2620
发表时间：
1996-03
影响因子：
11.1
作者：
R. Stanley
通讯作者：
R. Stanley