The isotriviality of families of canonically-polarized manifolds over a special quasi-projective base

Abstract

In this paper we prove that a smooth family of canonically polarized manifolds parametrized by a special (in the sense of Campana) quasi-projective variety is isotrivial.

Shorter arguments in Sect. 3 plus a correction in the equality of Cor. 3.2. To appear in Compositio Mathematica

References in corpus (2)

• Families over special base manifolds and a conjecture of Campana
• The structure of surfaces and threefolds mapping to the moduli stack of canonically polarized varieties

Cited by in corpus (1)

• On surjective morphisms to abelian varieties and a generalization of the Iitaka conjecture