An Essentially Saturated Surface Not of Kähler-type
نویسندگان
چکیده
It is shown that if X is an Inoue surface of type SM then the irreducible components of the Douady space of Xn are compact, for all n ≥ 0. This gives an example, asked for in [15], of an essentially saturated compact complex manifold (in the sense of model theory) that is not of Kähler-type. Among the known compact complex surfaces without curves, these are the only examples.
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