Semistable modules over Lie algebroids in positive characteristic
Algebraic Geometry
2015-03-24 v2
Abstract
We study Lie algebroids in positive characteristic and moduli spaces of their modules. In particular, we show a Langton's type theorem for the corresponding moduli spaces. We relate Langton's construction to Simpson's construction of gr-semistable Griffiths transverse filtration. We use it to prove a recent conjecture of Lan-Sheng-Zuo that semistable systems of Hodge sheaves on liftable varieties in positive characteristic are strongly semistable.
Cite
@article{arxiv.1311.2794,
title = {Semistable modules over Lie algebroids in positive characteristic},
author = {Adrian Langer},
journal= {arXiv preprint arXiv:1311.2794},
year = {2015}
}
Comments
v2: changed formatting, 30 pages, corrections in 4.2, 5.1 and 5.2, to appear in Documenta Mathematica