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math.NT2016★ 1 cited
On Higgs bundles over Shimura varieties of ball quotient type
Ke Chen, Xin Lu, Sheng-Li Tan +1
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…
math.AG2016
Singular Fibers and Kodaira Dimensions
Xin Lu, Sheng-Li Tan, Kang Zuo
Let be a non-isotrivial semi-stable family of varieties of dimension over with singular fibers. Assume that the smooth fibers ar…