Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
Algebraic Geometry
2018-05-30 v1
Abstract
Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals in power series rings.
Keywords
Cite
@article{arxiv.1804.08160,
title = {Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation},
author = {M. E. Alonso and F. J. Castro-Jiménez and H. Hauser and C. Koutschan},
journal= {arXiv preprint arXiv:1804.08160},
year = {2018}
}
Comments
To appear in Bulletin of the London Mathematical Society