English

Twisted functoriality in nonabelian Hodge theory in positive characteristic

Algebraic Geometry 2021-07-15 v2

Abstract

We establish the twisted functoriality in nonabelian Hodge theory in positive characteristic. As an application, we obtain a purely algebraic proof of the fact that the pullback of a semistable Higgs bundle with vanishing Chern classes is again semistable.

Keywords

Cite

@article{arxiv.2105.01385,
  title  = {Twisted functoriality in nonabelian Hodge theory in positive characteristic},
  author = {Mao Sheng},
  journal= {arXiv preprint arXiv:2105.01385},
  year   = {2021}
}

Comments

12 pages. An application is included in the second version