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arXiv · 2406.15628

The Hermitian Killing form and root counting of complex polynomials with conjugate variables

Davide Furchì
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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.

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Davide Furchì. 2024-06-21. The Hermitian Killing form and root counting of complex polynomials with conjugate variables. https://doi.org/10.1016/j.laa.2024.11.028

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