Semi-positivity from Higgs bundles

2017/07/26 by Yohan Brunebarbe, Brunebarbe, Yohan · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1707.08495

openalex publication_date 2017/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• 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

• Stratified Hyperbolicity of the moduli stack of stable minimal models, I

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