Details:
Title  On the simplification of the coefficients of a parametrization  Author(s)  Carlos Andradas, Tomás Recio, J. Rafael Sendra, Luis Felipe Tabera  Type  Article in Journal  Abstract  This paper deals with the problem of finding, for a given parametrization of an algebraic variety V of arbitrary dimension, another parametrization with coefficients over a smaller field. We proceed adapting, to the parametric case, a construction introduced by A. Weil for implicitly given varieties. We find that this process leads to the consideration of new varieties of a particular kind (ultraquadrics, in the terminology of this paper) in order to check, algorithmically, several interesting properties of the given variety V , such as the property of being reparametrizable over the smaller field.  Keywords  Parametric varieties, Field of definition, Simplification of parametrizations  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717108001338 
Language  English  Journal  Journal of Symbolic Computation  Volume  44  Number  2  Pages  192  210  Year  2009  Edition  0  Translation 
No  Refereed 
No 
