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

Yasuhide Numata

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arXiv · 0707.0004

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

Yasuhide Numata

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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.

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BibTeX RIS

Yasuhide Numata. 2007-06-29. An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields. https://arxiv.org/abs/0707.0004

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