Solving parametric polynomial systems using Generic Rational Univariate Representation

HAL 2026 Preprint Open access

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Authors: Florent Corniquel
Cited by: 0

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 Mathematical and Computational Methods Algebraic Geometry and Number Theory

Publication details

Journal / source
HAL
Publication date
1 January 2026
Language
EN
Document type
Preprint