# Erratum for Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture

@article{Kovacs2006ErratumFB,
title={Erratum for Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture},
author={Sandor J. Kovacs and Max Lieblich},
journal={Annals of Mathematics},
year={2006},
volume={173},
pages={585-617}
}
• Published 22 November 2006
• Mathematics
• Annals of Mathematics
We show that the number of deformation types of canonically polarized manifolds over an arbitrary variety with proper singular locus is nite, and that this number is uniformly bounded in any nite type family of base varieties. As a corollary we show that a direct generalization of the geometric version of Shafarevich’s original conjecture holds for innitesimally rigid families of canonically polarized varieties.
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