Publications (69)
Singular Fibers and Kodaira Dimensions
Xin Lu, Sheng-Li Tan, Kang Zuo
Weierstrass filtration on Teichmüller curves and Lyapunov exponents: Upper bounds
Fei Yu, Kang Zuo
The Oort conjecture for Shimura curves of small unitary rank
Ke Chen, Xin Lu, Kang Zuo
On the minimal number of singular fibers with non-compact Jacobians for families of curves over $\mathbb P^1$
Xin Lu, Sheng-Li Tan, Wan-Yuan Xu +1
An inverse Cartier transform via exponential in positive characteristic
Guitang Lan, Mao Sheng, Kang Zuo
Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case
Guitang Lan, Mao Sheng, Kang Zuo
Chow-Kunneth decomposition for universal families over Picard modular surfaces
Andrea Miller, Stefan Müller-Stach, Sigrid Wortmann +2
Families of K3 surfaces over curves satisfying the equality of Arakelov-Yau's type and modularity
Xiaotao Sun, Sheng-Li Tan, Kang Zuo
Families over curves with a strictly maximal Higgs field
Eckart Viehweg, Kang Zuo
On the Severi type inequalities for irregular surfaces
Xin Lu, Kang Zuo
Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds; questions and examples
Eckart Viehweg, Kang Zuo
Uniformization of $p$-adic curves via Higgs-de Rham flows
Guitang Lan, Mao Sheng, Yanhong Yang +1
Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: The case of noncompact curves
Juergen Jost, Yi-Hu Yang, Kang Zuo
On the slope conjecture of Barja and Stoppino for fibred surfaces
Xin Lu, Kang Zuo
Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks
Eckart Viehweg, Kang Zuo
Canonical Class Inequality for Fibred Spaces
Jun Lu, Sheng-Li Tan, Kang Zuo
The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold
Juergen Jost, Yihu Yang, Kang Zuo
Higgs bundles over the good reduction of a quaternionic Shimura curve
Mao Sheng, Jiajin Zhang, Kang Zuo
An Arakelov Inequality in Characteristic p and Upper Bound of p-Rank Zero Locus
Jun Lu, Mao Sheng, Kang Zuo
Computational details on the disproof of modularity
Ralf Gerkmann, Mao Sheng, Kang Zuo
The monodromy groups of Dolgachev's CY moduli spaces are Zariski dense
Mao Sheng, Jinxing Xu, Kang Zuo
On the cohomology groups of local systems over Hilbert modular varieties via Higgs bundles
Stefan Müller-Stach, Mao Sheng, Xuanming Ye +1
Base spaces of non-isotrivial families of smooth minimal models
Eckart Viehweg, Kang Zuo
On the monodromy of the moduli space of Calabi-Yau threefolds coming from eight planes in $\mathbb{P}^3$
Ralf Gerkmann, Mao Sheng, Duco van Straten +1
The Oort conjecture on Shimura curves in the Torelli locus of curves
Xin Lu, Kang Zuo
Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
Pedro Luis del Angel, Stefan Müller-Stach, Duco van Straten +1
On Shimura curves in the Torelli locus of curves
Xin Lu, Kang Zuo
Disproof of modularity of moduli space of CY 3-folds of double covers of P3 ramified along eight planes in general positions
Ralf Gerkmann, Sheng Mao, Kang Zuo
Special families of curves, of Abelian varieties, and of certain minimal manifolds over curves
Martin Moeller, Eckart Viehweg, Kang Zuo
Base change of twisted Fontaine-Faltings modules and Twisted Higgs-de Rham flows over very ramified valuation rings
Ruiran Sun, Jinbang Yang, Kang Zuo
A note on Shimura subvarieties in the hyperelliptic Torelli locus
Ke Chen, Xin Lu, Kang Zuo
Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
Semistable Higgs bundles of small ranks are strongly Higgs semistable
Guitang Lan, Mao Sheng, Yanhong Yang +1
Nonabelian Hodge theory in positive characterstic via exponential twisting
Guitang Lan, Mao Sheng, Kang Zuo
Stability of Hodge bundles and a numerical characterization of Shimura varieties
Martin Moeller, Eckart Viehweg, Kang Zuo
On the Oort conjecture for Shimura varieties of unitary and orthogonal types
Ke Chen, Xin Lu, Kang Zuo
Harmonic bundles on quasi-compact Kaehler manifolds
Juergen Jost, Jiayu Li, Kang Zuo
Special subvarieties of A_g
Eckart Viehweg, Kang Zuo
Calabi-Yau Varieties with Fibre Structures
Yi Zhang, Kang Zuo
On a question of Ekedahl and Serre
Ke Chen, Xin Lu, Kang Zuo
Cohomologies of harmonic bundles on quasi-compact Kaehler manifolds
Juergen Jost, Yi-Hu Yang, Kang Zuo
A characterization of special subvarieties in orthogonal Shimura varieties
Stefan Müller-Stach, Kang Zuo
Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces
Kang Zuo, Eckart Viehweg
A characterization of certain Shimura curves in the moduli stack of abelian varieties
Eckart Viehweg, Kang Zuo
Weierstrass filtration on Teichmuller curves and Lyapunov exponents
Fei Yu, Kang Zuo
On Shimura subvarieties generated by families of abelian covers of $\mathbb{P}^{1}$
Abolfazl Mohajer, Kang Zuo
Special subvarieties in Mumford-Tate varieties
Abolfazl Mohajer, Stefan Müller-Stach, Kang Zuo
A note on the characteristic $p$ nonabelian Hodge theory in the geometric case
Mao Sheng, Xin He, Kang Zuo
On the isotriviality of families of projective manifolds over curves
Eckart Viehweg, Kang Zuo
Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration
Juergen Jost, Kang Zuo
Periodic Higgs subbundles in positive and mixed characteristic
Mao Sheng, Kang Zuo
Complex projective threefolds with non-negative canonical Euler-Poincare characteristic
Meng Chen, Kang Zuo
Finiteness of hyperelliptic and superelliptic curves with CM Jacobians
Ke Chen, Xin Lu, Kang Zuo
Families of abelian varieties over curves with maximal Higgs field
Eckart Viehweg, Kang Zuo
On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds
Eckart Viehweg, Kang Zuo
On Higgs bundles over Shimura varieties of ball quotient type
Ke Chen, Xin Lu, Sheng-Li Tan +1
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
Projective Crystalline Representations of Ãtale Fundamental Groups and Twisted Periodic Higgs-de Rham Flow
Ruiran Sun, Jinbang Yang, Kang Zuo
Numerical bounds for semi-stable families of curves or of certain higher dimensional manifolds
Eckart Viehweg, Kang Zuo
Harmonic metrics on unipotent bundles over quasi-compact Kaehler manifolds
Juergen Jost, Yi-Hu Yang, Kang Zuo
Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling
Mao Sheng, Jinxing Xu, Kang Zuo
Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups
Guitang Lan, Mao Sheng, Kang Zuo
$L^2$ and intersection cohomologies for the reductive representation of the fundamental groups of quasiprojective manifolds with unipotent local monodromy
Xuanming Ye, Kang Zuo
A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces
Jun Lu, Sheng-Li Tan, Fei Yu +1
On the slope of hyperelliptic fibrations with positive relative irregularity
Xin Lu, Kang Zuo
On the Newton polygons of abelian varieties of Mumford's type
Mao Sheng, Kang Zuo
Arakelov inequalities and the uniformization of certain rigid Shimura varieties
Eckart Viehweg, Kang Zuo
Deuring's mass formula of a Mumford family
Mao Sheng, Kang Zuo
Polarized Variation of Hodge Structures of Calabi-Yau Type and Characteristic Subvarieties Over Bounded Symmetric Domains
Mao Sheng, Kang Zuo