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math.AG2018
Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
M. E. Alonso, F. J. Castro-Jiménez, H. Hauser +1
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…
cs.SC2018
Desingularization in the -Weyl algebra
Christoph Koutschan, Yi Zhang
In this paper, we study the desingularization problem in the first -Weyl algebra. We give an order bound for desingularized operators, and thus derive an algorithm for computing…