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arXiv · 0712.3234

An essentially saturated surface not of Kaehler-type

Rahim Moosa·Ruxandra Moraru·Matei Toma
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Abstract

It is shown that if $X$ is an Inoue surface of type $S_M$ then the irreducible components of the Douady space of $X^n$ are compact, for all $n>0$. This gives an example of an essentially saturated compact complex manifold (in the sense of model theory) that is not of Kaehler-type. Among the known compact complex surfaces without curves, it is shown that these are the only examples.

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Rahim Moosa, Ruxandra Moraru, Matei Toma. 2007-12-19. An essentially saturated surface not of Kaehler-type. https://doi.org/10.1112/blms%2Fbdn063

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