An Algorithm to Classify the Asymptotic Set Associated to a Polynomial Mapping - American Journal of Computational Mathematics

AJCM > Vol.7 No.1, March 2017

American Journal of Computational Mathematics

Volume 7, Issue 1 (March 2017)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

An Algorithm to Classify the Asymptotic Set Associated to a Polynomial Mapping ()

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DOI: 10.4236/ajcm.2017.71010 1,181 Downloads 1,998 Views Citations

Author(s)

Nguyen Thi Bich Thuy

Affiliation(s)

IBILCE, UNESP, Universidade Estadual Paulista, "Júlio de Mesquita", São José do Rio Preto, São Paulo, Brazil.

ABSTRACT

We provide an algorithm to classify the asymptotic sets of the dominant polynomial mappings

of degree 2, using the definition of the so-called “fa?ons” in [2]. We obtain a classification theorem for the asymptotic sets of dominant polynomial mappings

of degree 2. This algorithm can be generalized for the dominant polynomial mappings

of degree d, with any (n,d)∈(N*)².

KEYWORDS

Algorithms, Polynomial Mappings, Asymptotic Sets, Façons

Share and Cite:

Thuy, N. (2017) An Algorithm to Classify the Asymptotic Set Associated to a Polynomial Mapping. American Journal of Computational Mathematics, 7, 109-126. doi: 10.4236/ajcm.2017.71010.

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