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arXiv · alg-geom/9702005

Moishezon Manifolds

Marco Andreatta
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Abstract

Let X be a compact Moishezon manifold which becomes projective after blowing up a smooth subvariety $Y \subset X$. We assume also that there exists a proper map $ρ:X \to X'$ onto a projective variety X' with $ρ(Y)$ a point, such that $Pic(X/X') = \Z$ and $K_X$ is $ρ$-big. We prove some inequalities between the dimensions of Y and X and we construct examples which shows the optimality of the inequalities. Then we discuss some differential geometry properties of these examples which lead to a conjecture.

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Marco Andreatta. 1997-02-04. Moishezon Manifolds. https://arxiv.org/abs/alg-geom/9702005

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