Work

Solving parametric polynomial systems using Generic Rational Univariate Representation

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.06817

Author: Corniquel, Florent

Institutions: Institut de Mathématiques de Jussieu-Paris Rive Gauche, OURAGAN: Outils de Résolution Algébriques pour la Géométrie et ses Applications

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7128372033

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