Abstract
In [9, III], we tried to construct quasi-projective moduli schemes M h for certain moduli functors .4/h of polarized compact complex manifolds X with Hilbert polynomial h. However, being unable to handle the compact part of the equivalence relation, we could achieve our aim only after changing the definition of the moduli functor [9, III, 1.10]. Instead of considering the functor of polarized manifolds up to Q-numerical equivalence, as it was done in [6] and [7], we allowed only isomorphisms of the invertible sheaves giving the polarization. In this article we want to show that our "cheating" was unnecessary and we will prove:
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