A note on the characteristic $p$ nonabelian Hodge theory in the geometric case
Algebraic Geometry
2015-01-06 v3
Abstract
We provide a construction of associating a de Rham subbundle to a Higgs subbundle in characteristic in the geometric case. As applications, we obtain a Higgs semistability result and a -unliftable result.
Keywords
Cite
@article{arxiv.1202.3942,
title = {A note on the characteristic $p$ nonabelian Hodge theory in the geometric case},
author = {Mao Sheng and Xin He and Kang Zuo},
journal= {arXiv preprint arXiv:1202.3942},
year = {2015}
}
Comments
16 pages. The assumption $(n\rank(E)-1)\leq p-2$ in the Higgs semistability result has been removed in the current version