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Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.

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Ramified covering map between analytic sets

Suppose $ B_{n}(0, 1) $ is the open ball of radius 1 in $n$-dim complex space $\mathbb{C}^{n}$ and $B_{m}(0,1)$ is the open ball of radius 1 in $m$-dim complex space $\mathbb{C}^{m}$. Let $V$ be a $n$ …
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