Semistable modules over Lie algebroids in positive characteristic

By A. Langer. Documenta Mathematica, 2013

53 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/851455f727a5a5c47917bbb24263a02119bc4fe1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Langer

In Geometry and Topology

1. Mao Sheng
2. K. Zuo
3. Guitang Lan
4. A. Langer
5. Max Lieblich
6. Mihnea Cristian Popa
7. C. Schnell
8. E. Viehweg

Citations in the corpus

• Bogomolov’s inequality for Higgs sheaves in positive characteristic (2015, background): “in [18] and we prove their conjecture in a separate paper (see [25]; after this paper was submitted there also appeared another proof of this result in [17]).”
• Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups (2013, background): “Langer in [19] in the case of small rank, which is quite crucial to his algebraic proof of Bogomolov-Gieseker inequality and Miyaoka-Yau inequality.”