Semi-positivity from Higgs bundles

Abstract

We prove a generalization of the Fujita-Kawamata-Zuo semi-positivity Theorem for filtered regular meromorphic Higgs bundles and tame harmonic bundles. Our approach gives a new proof in the cases already considered by these authors. We give also an application to the geometry of smooth quasi-projective complex varieties admitting a semisimple complex local system with infinite monodromy.

18 pages

References in corpus (2)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• Kobayashi-Hitchin correspondence for tame harmonic bundles and an application

Cited by in corpus (2)

• Hyperbolicity of bases of log Calabi-Yau families
• A remark on semipositivity theorems