Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
| Autor: | Alonso, M. E., Castro-Jiménez, F. J., Hauser, H., Koutschan, C. |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms.12162 |
| Popis: | 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. Comment: To appear in Bulletin of the London Mathematical Society |
| Databáze: | arXiv |
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