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math.AC2015
Linear nested Artin approximation theorem for algebraic power series
Francisco-Jesus Castro-Jiménez, Dorin Popescu, Guillaume Rond
We give a new and elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subri…
math.AC2015
Artin Approximation
Guillaume Rond
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…