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Abstract:

We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux series vector centered at the point ensuring that it is not isolated. In addition, in the case that the set of all common solutions of the system has dimension 1, we obtain further conditions specifying to what extent the given vector of truncated Puiseux series coincides with the initial part of a parametrization of a curve of solutions passing through the point. © 2016, Copyright © Taylor & Francis Group, LLC.

Registro:

Documento: Artículo
Título:Puiseux Expansions and Nonisolated Points in Algebraic Varieties
Autor:Herrero, M.I.; Jeronimo, G.; Sabia, J.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Ciencias Exactas, Ciclo Básico Común, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
IMAS, CONICET-UBA, Buenos Aires, Argentina
Palabras clave:Algebraic varieties; Curves; Isolated points; Puiseux series
Año:2016
Volumen:44
Número:5
Página de inicio:2100
Página de fin:2109
DOI: http://dx.doi.org/10.1080/00927872.2015.1033717
Título revista:Communications in Algebra
Título revista abreviado:Commun. Algebra
ISSN:00927872
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v44_n5_p2100_Herrero

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Citas:

---------- APA ----------
Herrero, M.I., Jeronimo, G. & Sabia, J. (2016) . Puiseux Expansions and Nonisolated Points in Algebraic Varieties. Communications in Algebra, 44(5), 2100-2109.
http://dx.doi.org/10.1080/00927872.2015.1033717
---------- CHICAGO ----------
Herrero, M.I., Jeronimo, G., Sabia, J. "Puiseux Expansions and Nonisolated Points in Algebraic Varieties" . Communications in Algebra 44, no. 5 (2016) : 2100-2109.
http://dx.doi.org/10.1080/00927872.2015.1033717
---------- MLA ----------
Herrero, M.I., Jeronimo, G., Sabia, J. "Puiseux Expansions and Nonisolated Points in Algebraic Varieties" . Communications in Algebra, vol. 44, no. 5, 2016, pp. 2100-2109.
http://dx.doi.org/10.1080/00927872.2015.1033717
---------- VANCOUVER ----------
Herrero, M.I., Jeronimo, G., Sabia, J. Puiseux Expansions and Nonisolated Points in Algebraic Varieties. Commun. Algebra. 2016;44(5):2100-2109.
http://dx.doi.org/10.1080/00927872.2015.1033717