6533b862fe1ef96bd12c64c1

RESEARCH PRODUCT

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

Kang ZuoHe XinMao Sheng

subject

Pure mathematicsMathematics::Dynamical SystemsGeneral MathematicsHodge theoryHigh Energy Physics::PhenomenologyAlgebraMathematics - Algebraic GeometryMathematics::Algebraic GeometrySubbundleFOS: MathematicsHiggs bosonMathematics::Differential Geometry14F30 14F40Algebraic Geometry (math.AG)Mathematics::Symplectic GeometryMathematics

description

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.

yearjournalcountryeditionlanguage
2012-02-17
http://arxiv.org/abs/1202.3942