Families of proper holomorphic maps
Abstract
Abstract Given a smooth, open, oriented surface X endowed with a family of complex structures $$\{J_b\}_{b\in B}$$ { J b } b ∈ B depending continuously on the parameter b in a metrisable space B , we construct a continuous family of proper holomorphic maps $$F_{b}:(X,J_b)\rightarrow \mathbb {C}^{2}$$ F b : ( X , J b ) → C 2 , $$b\in B$$ b ∈ B .
Fields of Study & Subjects
Holomorphic and Operator Theory
Geometry and complex manifolds
Meromorphic and Entire Functions
Publication details
- Journal / source
- Journal of Geometric Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 36
- Issue
- 3
- Pages
- 102–102
- Publication date
- 2 February 2026
- Language
- EN