Artin Approximation
Commutative Algebra
2018-05-16 v4 Algebraic Geometry
Complex Variables
Abstract
In 1968, M. Artin proved that any formal power series solution of a system of analytic equations may be approximated by convergent power series solutions. Motivated by this result and a similar result of P{\l}oski, he conjectured that this remains true when the ring of convergent power series is replaced by a more general kind of ring. This paper presents the state of the art on this problem, aimed at non-experts.
Cite
@article{arxiv.1506.04717,
title = {Artin Approximation},
author = {Guillaume Rond},
journal= {arXiv preprint arXiv:1506.04717},
year = {2018}
}
Comments
Final version