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

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

2012-02-17

arxiv.org/abs/1202.3942v2

Mathematics

Algebraic Geometry

16 pages. Comments are appreciated

Scientific paper

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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