A short proof for the parameter continuation theorem
Algebraic Geometry
2024-07-18 v5 Numerical Analysis
Numerical Analysis
Abstract
The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this note, we give a short proof using Gr\"obner bases. Our approach gives a method for computing discriminants.
Cite
@article{arxiv.2302.14697,
title = {A short proof for the parameter continuation theorem},
author = {Viktoriia Borovik and Paul Breiding},
journal= {arXiv preprint arXiv:2302.14697},
year = {2024}
}