Base Spaces of Non-Isotrivial Families of Smooth Minimal Models

Eckart Viehweg () and Kang Zuo ()
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Eckart Viehweg: Universität Essen, FB6 Mathematik
Kang Zuo: The Chinese University of Hong Kong, Department of Mathematics

A chapter in Complex Geometry, 2002, pp 279-328 from Springer

Abstract: 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 $$ \Psi :\mathcal{M}_h \to Hom(\_,M_h ) $$ 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).

Keywords: 2000; Mathematics Subject Classification; 14D05; 14D22; 14F17; 14J60; 14E30 (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-3-642-56202-0_16

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