$T$-polynomial convexity and holomorphic convexity
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917600609435648 |
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| author | Boudreaux, Blake J. |
| author_facet | Boudreaux, Blake J. |
| contents | We compare the $T$-polynomial convexity of Guedj with holomorphic convexity away from the support of $T$. In particular we show an Oka--Weil theorem for $T$-polynomial convexity, as well as present a situation when the notions of $T$-polynomial convexity and holomorphic convexity of $X\setminus\text{Supp }T$ coincide in the context of complex projective algebraic manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18692 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $T$-polynomial convexity and holomorphic convexity Boudreaux, Blake J. Complex Variables 32E05 (Primary) 32U40 We compare the $T$-polynomial convexity of Guedj with holomorphic convexity away from the support of $T$. In particular we show an Oka--Weil theorem for $T$-polynomial convexity, as well as present a situation when the notions of $T$-polynomial convexity and holomorphic convexity of $X\setminus\text{Supp }T$ coincide in the context of complex projective algebraic manifolds. |
| title | $T$-polynomial convexity and holomorphic convexity |
| topic | Complex Variables 32E05 (Primary) 32U40 |
| url | https://arxiv.org/abs/2402.18692 |