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arXiv · 2511.11188

Families of proper holomorphic maps

Barbara Drinovec Drnovsek·Jure Kalisnik
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Abstract

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

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Barbara Drinovec Drnovsek, Jure Kalisnik. 2025-11-14. Families of proper holomorphic maps. https://doi.org/10.1007/s12220-026-02342-y

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