Semistable modules over Lie algebroids in positive characteristic
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Publication:462462
zbMATH Open1330.14017arXiv1311.2794MaRDI QIDQ462462
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Publication date: 20 October 2014
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1311.2794
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