Geodesic
Semistable modules over Lie algebroids in positive characteristic
Documenta mathematica, Tome 19 (2014), pp. 509-540
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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.
DOI : 10.4171/dm/454
Classification : 14D20, 14G17, 17B99
Mots-clés : positive characteristic, Lie algebroids, langton's theorem, sheaves with connection, Higgs sheaves 
@article{10_4171_dm_454,
     author = {Adrian Langer},
     title = {Semistable modules over {Lie} algebroids in positive characteristic},
     journal = {Documenta mathematica},
     pages = {509--540},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/454},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/454/}
}
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Adrian Langer. Semistable modules over Lie algebroids in positive characteristic. Documenta mathematica, Tome 19 (2014), pp. 509-540. doi: 10.4171/dm/454

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