Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation

Herwig Hauser; Mariemi. E. Alonso; Francisco J. Castro-Jiménez

doi:10.1112/blms.12162

Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation

Herwig Hauser, Mariemi. E. Alonso, Francisco J. Castro-Jiménez

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

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.

Originalsprache	Englisch
Seiten (von - bis)	649-662
Seitenumfang	14
Fachzeitschrift	Bulletin of the London Mathematical Society
Jahrgang	50
Ausgabenummer	4
DOIs	https://doi.org/10.1112/blms.12162
Publikationsstatus	Veröffentlicht - Aug. 2018

ÖFOS 2012

101001 Algebra
101009 Geometrie

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10.1112/blms.12162

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