Article
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
Author/s | Alonso García, María Emilia
Castro Jiménez, Francisco Jesús Hauser, Herwig Koutschan, Christoph |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2018 |
Deposit Date | 2020-02-04 |
Published in |
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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 ... 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. |
Project ID. | MTM2014-55565
MTM2013-40455-P MTM2016-75024-P P-25652 AI-0038211 P29467-N32 F5011-N15 |
Citation | Alonso García, M.E., Castro Jiménez, F.J., Hauser, H. y Koutschan, C. (2018). Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation. Bulletin of the London Mathematical Society, 50, 649-662. |
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