Details:
| Title | On the simplification of the coefficients of a parametrization | | Author(s) | Carlos Andradas, 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 | 0747-7171 |
| 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 |
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