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math.NT2016
Finiteness of hyperelliptic and superelliptic curves with CM Jacobians
Ke Chen, Xin Lu, Kang Zuo
In this paper we study the Coleman-Oort conjecture for superelliptic curves, i.e., curves defined by affine equations with a separable polynomial. We prove that up t…
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…