A Gröbner Bases Approach to the Detection of Improperly Parameterized Rational Curve

Authors

  • Amadu Fullah Kamara Department of Mathematics, University of Science and Technology of China, China and Department of Mathematics, Faculty of Pure & Applied Sciences, Fourah Bay College, University of Sierra Leone, Sierra Leone.
  • Mohamed Abdulai Koroma Department of Mathematics, Faculty of Pure & Applied Sciences, Fourah Bay College, University of Sierra Leone, Sierra Leone and Department of Mathematics, Harbin Institute of Technology, China.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v7/18753D

Keywords:

Gröbner bases, resultant, field, parameterization

Abstract

Certain finite sets of multivariate polynomials are known as Gröbner bases. Several issues in polynomial ideal theory (such as those involving algebraic geometry and non-linear computational geometry) are easily resolved after translating the polynomial sets used in the problem specification into Gröbner basis form. The idea of Gröbner bases is used in this research to offer an algorithm for identifying inappropriate parameterization of rational curves. The Gröbner bases’ ability to function in both univariate and multivariate fields with specified ordering is the advantage of the proposed approach.

Published

2023-03-18

How to Cite

Amadu Fullah Kamara, & Mohamed Abdulai Koroma. (2023). A Gröbner Bases Approach to the Detection of Improperly Parameterized Rational Curve. Research Highlights in Mathematics and Computer Science Vol. 7, 123–132. https://doi.org/10.9734/bpi/rhmcs/v7/18753D

Issue

Research Highlights in Mathematics and Computer Science Vol. 7

Section

Chapters