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Boundedness Results for Families of Non-canonically Polarized Projective Varieties by Ascher, Kenneth; Taji, Behrouz is a scholarly article available to read on EtoBox.

What is Boundedness Results for Families of Non-canonically Polarized Projective Varieties about?

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.

Author

Ascher, Kenneth; Taji, Behrouz

Published

2024

Language

EN