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

Details 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

2007-06-29

arxiv.org/abs/0707.0004v1

Mathematics

Combinatorics

Scientific paper

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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