Pluripotential theory on algebraic curves
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908774950764544 |
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| author | Levenberg, Norm Ma'u, Sione |
| author_facet | Levenberg, Norm Ma'u, Sione |
| contents | In previous works, the second author defined directional Robin constants associated to a compact, nonpolar subset $K$ of an algebraic curve $A$ in $\mathbb{C}^N$ and related these to a natural class of Chebyshev constants for $K$. We define a second class of Chebyshev constants for $K$; relate these two classes; and utilize each of them to define two families of extremal-like functions which can be used to recover the Siciak-Zaharjuta extremal function for $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07639 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pluripotential theory on algebraic curves Levenberg, Norm Ma'u, Sione Complex Variables 32U15 In previous works, the second author defined directional Robin constants associated to a compact, nonpolar subset $K$ of an algebraic curve $A$ in $\mathbb{C}^N$ and related these to a natural class of Chebyshev constants for $K$. We define a second class of Chebyshev constants for $K$; relate these two classes; and utilize each of them to define two families of extremal-like functions which can be used to recover the Siciak-Zaharjuta extremal function for $K$. |
| title | Pluripotential theory on algebraic curves |
| topic | Complex Variables 32U15 |
| url | https://arxiv.org/abs/2601.07639 |