The Hermitian Killing form and root counting of complex polynomials with conjugate variables
Algebraic Geometry
2024-12-05 v2
Abstract
Inspired by the work about solutions of a system of real polynomial equations done by Hermite, this paper introduces a Hermitian form, which encodes information about solutions of a system of complex polynomial equations with conjugate variables. Adopting the presented object, a new general bound for the number of solutions of an harmonic polynomial equation is proved.
Cite
@article{arxiv.2406.15628,
title = {The Hermitian Killing form and root counting of complex polynomials with conjugate variables},
author = {Davide Furchì},
journal= {arXiv preprint arXiv:2406.15628},
year = {2024}
}