A result of Artin states that analytification of proper algebraic spaces over $\mathbb{C}$ defines an an equivalence of the category of proper algebraic spaces with the category of Moishezon spaces. Is there some way to make sense algebrogeometrically of compact complexanalytic spaces of lower algebraic dimension?
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$\begingroup$ For the maximal meromorphic quotient $f:X\to Y$ with $Y$ algebraic, presumably you can think of $X$ as the pullback over $Y$ of the tautological family of complex analytic spaces for the natural meromorphic map from $Y$ to the Douady space of the fibers of $f$. $\endgroup$– Jason StarrCommented Dec 27, 2018 at 17:13
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