Families of proper holomorphic maps

Drinovec-Drnovšek, Barbara (author), Kališnik, Jure (author)

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 $F_b : (X,J_b) \to {\mathbb C}^2$, ${b \in B}$.

• Language: English
• Keywords: Riemann surfaces, proper holomorphic maps
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.03.2026
• Year: 2026
• Number of pages: 18 str.
• Numbering: Vol. 36, iss. 3, article no. 102
• PID: 20.500.12556/RUL-179050
• UDC: 517.5
• ISSN on article: 1050-6926
• DOI: 10.1007/s12220-026-02342-y
• COBISS.SI-ID: 267290627
• Publication date in RUL: 04.02.2026

Record is a part of a journal

• Title: The Journal of geometric analysis
• Shortened title: J. geom. anal.
• Publisher: Springer, Mathematica Josephina
• ISSN: 1050-6926
• COBISS.SI-ID: 30685696

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: Riemannove ploskve, prave holomorfne preslikave

Projects

• Funder: EC - European Commission
• Project number: 101053085
• Name: HPDR: Holomorphic Partial Differential Relations
• Acronym: HPDR

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0291
• Name: Analiza in geometrija