A note on finite determinacy of matrices
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2020
- DOI:
- 10.48550/arXiv.2008.13208
- arXiv:
- arXiv:2008.13208
- Bibcode:
- 2020arXiv200813208H
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14B05;
- 13A50;
- 13F25
- E-Print:
- 6 pages, final version, to appear in the PAMQ special issue in honor of Professor Gert-Martin Greuel's 75th birthday