English

A note on finite determinacy of matrices

Algebraic Geometry 2020-09-18 v2

Abstract

In this note, we give a necessary and sufficient condition for a matrix A in M to be finitely G-determined, where M is the ring of 2 x 2 matrices whose entries are formal power series over an infinite field, and G is a group acting on M by change of coordinates together with multiplication by invertible matrices from both sides.

Keywords

Cite

@article{arxiv.2008.13208,
  title  = {A note on finite determinacy of matrices},
  author = {Thuy Huong Pham and Pedro Macias Marques},
  journal= {arXiv preprint arXiv:2008.13208},
  year   = {2020}
}

Comments

6 pages, final version, to appear in the PAMQ special issue in honor of Professor Gert-Martin Greuel's 75th birthday

R2 v1 2026-06-23T18:11:32.755Z