An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields
An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields
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一种构建对数向量场模基础的算法
DOI：
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发表时间：
2007
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通讯作者：
Yasuhide Numata
中科院分区：
文献类型：
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作者：
Yasuhide Numata
我们考虑加权超平面的有限集合参数化的对数向量场。对于二维向量空间中的加权超平面的有限集合，已知这样的向量场的集合是秩2的自由模，其基元素是齐次的。我们给出了一个构造模的齐次基的算法。
We consider logarithmic vector fields parametrized by finite collections of weighted hyperplanes. For a finite collection of weighted hyperplanes in a two-dimensional vector space, it is known that the set of such vector fields is a free module of rank two whose basis elements are homogeneous. We give an algorithm to construct a homogeneous basis for the module.