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.

arXiv comment18 pages

References in corpus (4)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
• Kobayashi-Hitchin correspondence for tame harmonic bundles II

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• Hodge modules and Singular Hermitian Metrics
• Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures
• Vanishing and injectivity for R-Hodge modules and R-divisors
• Vanishing theorems for parabolic Higgs bundles