We give an algorithm to compute term-by-term multivariate Puiseux series exapansions of series arising as local parametrizations of zeroes of systems of algebraic equations at singular points. The algorithm is an extension of Newton polygon to the tropical variety of the ideal generated by the system.
Puiseux power series solutions for systems of equations / Ilardi, Giovanna; F., Aroca; LUCIA LOPEZ DE, Medrano. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - 21:11(2010), pp. 1439-1459. [10.1142/S0129167X10006574]
Puiseux power series solutions for systems of equations
ILARDI, GIOVANNA;
2010
Abstract
We give an algorithm to compute term-by-term multivariate Puiseux series exapansions of series arising as local parametrizations of zeroes of systems of algebraic equations at singular points. The algorithm is an extension of Newton polygon to the tropical variety of the ideal generated by the system.File in questo prodotto:
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