On the boundedness of canonical models

Abstract

It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when the general fibers of the corresponding Iitaka fibration are in a fixed bounded family of polarized Calabi-Yau pairs.

26 pages; Comments welcome

References in corpus (1)

• On the boundedness of $n$-folds with $\kappa (X)=n-1$