Kobayashi-Royden pseudometric on contractible surfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915484370206720 |
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| author | Kaliman, Shulim |
| author_facet | Kaliman, Shulim |
| contents | We describe a family of smooth contractible algebraic surfaces $X$ different from $\C^2$ such that $X$ admits dominant holomorphic maps from $\C^2$ and there is a unique line $E$ in $X$ for which the Kobayashi-Royden pseudometric vanishes on the tangent bundle over $X\setminus E$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kobayashi-Royden pseudometric on contractible surfaces Kaliman, Shulim Complex Variables 32F45, 14R10, 32Q28 We describe a family of smooth contractible algebraic surfaces $X$ different from $\C^2$ such that $X$ admits dominant holomorphic maps from $\C^2$ and there is a unique line $E$ in $X$ for which the Kobayashi-Royden pseudometric vanishes on the tangent bundle over $X\setminus E$. |
| title | Kobayashi-Royden pseudometric on contractible surfaces |
| topic | Complex Variables 32F45, 14R10, 32Q28 |
| url | https://arxiv.org/abs/2509.06874 |