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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.

8 votes
1 answer
436 views

Easiest proof for showing finite etale (analytic) quotients of algebraic varieties are algeb...

Let $X$ be an algebraic variety over $\mathbb C$. Let $X^{an}\to Y$ be a finite etale morphism with $Y$ a complex analytic space. I read somewhere that $Y$ algebraizes, ie, $Y=V^{an}$ for some algebr …