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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.15628 |
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| _version_ | 1866910726027739136 |
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| author | Furchì, Davide |
| author_facet | Furchì, Davide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Hermitian Killing form and root counting of complex polynomials with conjugate variables Furchì, Davide Algebraic Geometry 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. |
| title | The Hermitian Killing form and root counting of complex polynomials with conjugate variables |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2406.15628 |