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.
Original language | English |
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Pages (from-to) | 649-662 |
Number of pages | 14 |
Journal | Bulletin of the London Mathematical Society |
Volume | 50 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2018 |
Austrian Fields of Science 2012
- 101001 Algebra
- 101009 Geometry
Keywords
- 13F25
- 13P10
- 14B12 (primary)
- 14QXX
- 16W60
- 32A05