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

Mao Sheng; Xin He; Kang Zuo

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arXiv · 1202.3942

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

Mao Sheng·Xin He·Kang Zuo

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Abstract

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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Mao Sheng, Xin He, Kang Zuo. 2012-02-17. A note on the characteristic $p$ nonabelian Hodge theory in the geometric case. https://arxiv.org/abs/1202.3942

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