An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields
Combinatorics
2007-07-03 v1
Abstract
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.
Cite
@article{arxiv.0707.0004,
title = {An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields},
author = {Yasuhide Numata},
journal= {arXiv preprint arXiv:0707.0004},
year = {2007}
}