A note on the characteristic $p$ nonabelian Hodge theory in the geometric case

preprint2012arXivOpen access

We provide a construction of associating a de Rham subbundle to a Higgs subbundle in characteristic $p$ in the geometric case. As applications, we obtain a Higgs semistability result and a $W_2$ -unliftable result.

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A note on the characteristic $p$ nonabelian Hodge theory in the geometric case

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A note on the characteristic ppp nonabelian Hodge theory in the geometric case

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A note on the characteristic $p$ nonabelian Hodge theory in the geometric case