Solving parametric polynomial systems using Generic Rational Univariate Representation
Abstract
In this paper, we present a generic parametrization of generically zero-dimensional parametric polynomial systems. More specifically, we study the specialization properties of the Rational Univariate Representation and derive bounds on the degrees and heights of its elements. In addition to that, we propose two algorithms to effectively compute this parametrization.
Fields of Study & Subjects
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Mathematical and Computational Methods
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Document type
- Preprint