3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AC2023
Multivariate Hensel Lemma for ultrametric fields
M. -E. Alonso, H. Lombardi, S. Neuwirth
The Multivariate Hensel Lemma for local rings is usually proved as a consequence of the Grothendieck version of Zariski's Main Theorem. This version deals with a more general situa…
math.AG2018★ 3 cited
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…
math.AC2015
Local Bézout Theorem for Henselian rings
M. -Emilia Alonso, Henri Lombardi
This paper gives an elementary proof of an improved version of the algebraic Local Bézout Theorem (given by the authors in JSC 45 (2010) 975--985). Here we remove some ad hoc hypot…