A note on the characteristic p nonabelian Hodge theory in the geometric case
classification
🧮 math.AG
keywords
casecharacteristicgeometrichiggsresultsubbundleapplicationsassociating
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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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