کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401868 676732 2009 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the simplification of the coefficients of a parametrization
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the simplification of the coefficients of a parametrization
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 44, Issue 2, February 2009, Pages 192-210