Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
Authors:
- M. E. AlonsoMAM. E. Alonso
- F. J. Castro-JiménezFCF. J. Castro-Jiménez
- H. HauserHHH. Hauser
- C. KoutschanCKC. Koutschan
Preprint
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
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