English

Wronskians and Linear Dependence of Formal Power Series

Commutative Algebra 2016-11-02 v1 Rings and Algebras

Abstract

We give a new proof of the fact that the vanishing of generalized Wronskians implies linear dependence of formal power series in serveral variables. Our results are also valid for quotients of germs of analytic functions.

Keywords

Cite

@article{arxiv.1611.00248,
  title  = {Wronskians and Linear Dependence of Formal Power Series},
  author = {Keith Ball and Cynthia Parks and Wai Yan Pong},
  journal= {arXiv preprint arXiv:1611.00248},
  year   = {2016}
}