标题： 构造对数向量场模的基的算法 显示英文标题

标题： An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields

摘要： 我们考虑由有限个加权超平面参数化的对数向量场。 对于二维向量空间中的有限个加权超平面，已知这样的向量场集合是一个秩为二的自由模，其基元素是齐次的。 我们给出一个算法来构造该模的齐次基。 显示英文摘要

摘要： 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.