Families of proper holomorphic maps
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908809121759232 |
|---|---|
| author | Drnovsek, Barbara Drinovec Kalisnik, Jure |
| author_facet | Drnovsek, Barbara Drinovec Kalisnik, Jure |
| contents | Given a smooth, open, oriented surface $X$ endowed with a family of complex structures $\{J_b\}_{b\in B}$ depending continuously on the parameter $b$ in a metrisable space $B$, we construct a continuous family of proper holomorphic maps $F_{b}:(X,J_b)\to\mathbb C^{2}$, $b\in B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Families of proper holomorphic maps Drnovsek, Barbara Drinovec Kalisnik, Jure Complex Variables Primary 32H35. Secondary 32H02, 53A10 Given a smooth, open, oriented surface $X$ endowed with a family of complex structures $\{J_b\}_{b\in B}$ depending continuously on the parameter $b$ in a metrisable space $B$, we construct a continuous family of proper holomorphic maps $F_{b}:(X,J_b)\to\mathbb C^{2}$, $b\in B$. |
| title | Families of proper holomorphic maps |
| topic | Complex Variables Primary 32H35. Secondary 32H02, 53A10 |
| url | https://arxiv.org/abs/2511.11188 |