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Semistable modules over Lie algebroids in positive characteristic

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 نشر من قبل Adrian Langer
 تاريخ النشر 2013
  مجال البحث
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 تأليف Adrian Langer




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We study Lie algebroids in positive characteristic and moduli spaces of their modules. In particular, we show a Langtons type theorem for the corresponding moduli spaces. We relate Langtons construction to Simpsons 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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