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On Higgs bundles over Shimura varieties of ball quotient type
Kang ZuoXin LuKe ChenSheng-li Tansubject
Pure mathematicsMathematics - Number TheoryApplied MathematicsGeneral MathematicsMathematics::Number Theory010102 general mathematicsFibrationQuotient type01 natural sciencesUnitary stateMathematics::Algebraic TopologyMathematics - Algebraic GeometryMathematics::Algebraic GeometryFOS: MathematicsHiggs bosonNumber Theory (math.NT)Ball (mathematics)0101 mathematicsMathematics::Representation TheoryAlgebraic Geometry (math.AG)Mathematicsdescription
We prove the generic exclusion of certain Shimura varieties of unitary and orthogonal types from the Torelli locus. The proof relies on a slope inequality on surface fibration due to G. Xiao, and the main result implies that certain Shimura varieties only meet the Torelli locus in dimension zero.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-25 |