Fibration of log-general type space over quasi-abelian varieties

Abstract

We show that there exists no smooth fibration of a smooth complex quasi-projective variety of log-general type over a quasi-abelian variety. The proof uses M. Popa and C. Schnell's construction of Higgs bundle.

6 pages

References in corpus (1)

• An overview of Morihiko Saito's theory of mixed Hodge modules

Cited by in corpus (1)

• Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms