English

Semi-positivity from Higgs bundles

Algebraic Geometry 2017-07-27 v1

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.

Keywords

Cite

@article{arxiv.1707.08495,
  title  = {Semi-positivity from Higgs bundles},
  author = {Yohan Brunebarbe},
  journal= {arXiv preprint arXiv:1707.08495},
  year   = {2017}
}

Comments

18 pages

R2 v1 2026-06-22T20:58:11.790Z