On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds
Eckart Viehweg and Kang Zuo
Source: Duke Math. J. Volume 118, Number 1
(2003), 103-150.
Abstract
We show that the moduli stack $\mathscr {M}\sb h$ of canonically polarized complex manifolds with Hilbert polynomial $h$ is Brody hyperbolic. Hence if $M\sb h$ denotes the corresponding coarse moduli scheme, and if $U \to M\sb h$ is a quasi-finite morphism, induced by a family, then there are no nonconstant holomorphic maps $\mathbb {C}\to U$.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1082744556
Mathematical Reviews number (MathSciNet): MR1978884
Digital Object Identifier: doi:10.1215/S0012-7094-03-11815-3
Zentralblatt MATH identifier: 1042.14010
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