20 citations · 21 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
The Oort conjecture on Shimura curves in the Torelli locus of curves
Xin Lu, Kang Zuo
Oort has conjectured that there do not exist Shimura curves contained generically in the Torelli locus of genus- curves when is large enough. In this paper we prove the Oort…