Geodesic
Artin Approximation
Journal of Singularities, Tome 17 (2018), pp. 108-192

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In 1968, M. Artin proved that any formal power series solution of a system of analytic equations may be approximated by convergent power series solutions. Motivated by this result and a similar result of A. Ploski, he conjectured that this remains true when the ring of convergent power series is replaced by a more general kind of ring.
DOI : 10.5427/jsing.2018.17g
Classification : 00-02, 03C20, 13-02, 13B40, 13J05, 13J15, 14-02, 14B12, 14B25, 32-02, 32B05, 32B10, 11J61, 26E10, 41A58. 
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     author = {Guillaume Rond},
     title = {Artin {Approximation}},
     journal = {Journal of Singularities},
     pages = {108--192},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.5427/jsing.2018.17g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17g/}
}
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Guillaume Rond. Artin Approximation. Journal of Singularities, Tome 17 (2018), pp. 108-192. doi: 10.5427/jsing.2018.17g

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