Abstract
Given a polynomial h of degree n let M h be the moduli functor of canonically polarized complex manifolds with Hilbert polynomial h. By [23] there exist a quasi-projective scheme M h together with a natural transformation
such that M h is a coarse moduli scheme for M h . For a complex quasi-projective manifold U we will say that a morphism ϕ U → M h factors through the moduli stack, or that ϕ is induced by a family, if ϕ lies in the image of Ψ(U), hence if ϕ = Ψ(ƒ: V → U).
This work has been supported by the “DFG-Forschergruppe Arithmetik und Geometrie” and the “DFG-Schwerpunktprogramm Globale Methoden in der Komplexen Geometrie”. The second named author is supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CUHK 4239/01P).
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Viehweg, E., Zuo, K. (2002). Base Spaces of Non-Isotrivial Families of Smooth Minimal Models. In: Bauer, I., Catanese, F., Peternell, T., Kawamata, Y., Siu, YT. (eds) Complex Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56202-0_16
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