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Extension of holomorphic maps to smooth family of holomorphic maps

Let $\pi:X \to D^2$ be a family of diffeomorphic (but not isomorphic) complex manifolds. Each fiber is allowed to have boundary but is compact (maybe not Stein) and $D^2 \subset \mathbb{C}$ is a ...
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Some general questions about deformations

$\newcommand{\spec}[1]{\mathrm{spec}(#1)}$ $\newcommand{\ZZ}{\mathbb{Z}}$ $\newcommand{\QQ}{\mathbb{Q}}$ $\newcommand{\CC}{\mathbb{C}}$ These days I am reading in Kurke, Pfister, Roczen "...
Jürgen Böhm's user avatar