On the $${\mathcal {A}}$$ A -equivalence of quasi-ordinary parameterizations

Autor: M. E. Hernandes, N. M. P. Panek
Rok vydání: 2018
Předmět:
Zdroj: Revista Matemática Complutense. 32:255-272
ISSN: 1988-2807
1139-1138
DOI: 10.1007/s13163-018-0276-3
Popis: We study the analytic equivalence of quasi-ordinary hypersurfaces in $${\mathbb {C}}^{r+1}$$ by means of its normalized quasi-ordinary parameterization. In this context, two quasi-ordinary hypersurfaces are analytic equivalent if and only if their normalized quasi-ordinary parameterizations are $${\mathcal {A}}$$ -equivalent. We introduce the set $$\Lambda _{H}^{\mathcal {D}}\subset {\mathbb {N}}^{r}$$ associated to Kahler r-forms that generalizes an important analytic invariant of plane branches and allows us to identify terms in a normalized quasi-ordinary parameterization that can be eliminable by an element of $${\mathcal {A}}$$ -group.
Databáze: OpenAIRE
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