Alberto F. Boix

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20112026

most citedInvariants of limit key polynomials

2 citations · 2 across the 8 of their papers we have counts for

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math.AC2019

Surjectivity of the completion map for rings of $C^{\infty}$ -functions. (Whitney extension theorem for general filtrations)

Genrich Belitskii, Dmitry Kerner

The classical lemma of Borel reads: any power series with real coefficients is the Taylor series of a smooth function. Algebraically this means the surjectivity of the completion m…

math.AC2019

Approximation results of Artin-Tougeron-type for general filtrations and for $C^{r}$ -equations

Genrich Belitskii, Alberto F. Boix, Dmitry Kerner

Artin approximation and other related approximation results are used in various areas. The traditional formulation of such results is restricted to filtrations by powers of ideals,…

math.AC2019

The level of pairs of polynomials

Alberto F. Boix, Marc Paul Noordman, Jaap Top

Given a polynomial $f$ with coefficients in a field of prime characteristic $p$ , it is known that there exists a differential operator that raises $1/ f$ to its $p$ th power. We firs…

Surjectivity of the completion map for rings of C∞-functions. (Whitney extension theorem for general filtrations)

Approximation results of Artin-Tougeron-type for general filtrations and for Cr-equations

The level of pairs of polynomials

Surjectivity of the completion map for rings of $C^{\infty}$ -functions. (Whitney extension theorem for general filtrations)

Approximation results of Artin-Tougeron-type for general filtrations and for $C^{r}$ -equations