Constructs continuous families of holomorphic maps in varying complex structures on surfaces, implying structural insights.
Given a smooth, open, oriented surface X endowed with a family of complex structures ∈ 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 Fb:(X,Jb)→ C² F b : ( X , J b ) → C 2 , b∈ B b ∈ B .
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Drnovšek et al. (2026) studied this question.
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