Polynomial convexity with degree bounds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910377851224064 |
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| author | Slapar, Marko |
| author_facet | Slapar, Marko |
| contents | We introduce different notions of polynomial convexity with bounds on degrees of polynomials in $\mathbb C^n$. We provide some examples in higher dimensions and show necessary and sufficient conditions for polynomial convexity with degree bounds for certain sets of points in $\mathbb C$ and for certain arcs in the unit circle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial convexity with degree bounds Slapar, Marko Complex Variables We introduce different notions of polynomial convexity with bounds on degrees of polynomials in $\mathbb C^n$. We provide some examples in higher dimensions and show necessary and sufficient conditions for polynomial convexity with degree bounds for certain sets of points in $\mathbb C$ and for certain arcs in the unit circle. |
| title | Polynomial convexity with degree bounds |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2403.14529 |