Boundedness results for families of non-canonically polarized projective varieties
classification
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keywords
polarizedboundednessfamiliesprojectiveresultssmoothvarietiesacs--lieblich
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We prove that, over a smooth quasi-projective curve, the set of non-isotrivial, smooth and projective families of polarized varieties with a fixed Hilbert polynomial and semi-ample canonical bundle is bounded. This extends the boundedness results of Arakelov, Parshin, and Kov\'acs--Lieblich beyond the canonically polarized case.
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Cited by 1 Pith paper
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Quasi-Projective Moduli for Polarized klt Good Minimal Models
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.
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