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Start Over Author "Max Lieblich" Journal annals of mathematics
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1. Erratum for Boundedness of families of canonically polarized manifolds: A higher dimensional analogue of Shafarevich's conjecture$^\ast$

Author

Sándor J. Kovács and Max Lieblich

Subjects
Type family, Algebra, Pure mathematics, Mathematics (miscellaneous), Conjecture, Corollary, Uniform boundedness, Statistics, Probability and Uncertainty, Locus (mathematics), Mathematics
Abstract

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.

Published
2011
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