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arXiv · 1311.2794

Semistable modules over Lie algebroids in positive characteristic

Adrian Langer
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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.

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Adrian Langer. 2014-03-26. Semistable modules over Lie algebroids in positive characteristic. https://arxiv.org/abs/1311.2794

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