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

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.

arXiv comment16 pages. The assumption $(n\rank(E)-1)\leq p-2$ in the Higgs semistability result has been removed in the current version

References in corpus (3)

• On the isotriviality of families of projective manifolds over curves
• Logarithmic nonabelian Hodge theory in characteristic p
• An inverse Cartier transform via exponential in positive characteristic

Cited by in corpus (3)

• Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case
• An inverse Cartier transform via exponential in positive characteristic
• Periodic Higgs subbundles in positive and mixed characteristic