7 citations
5 papers
Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces
Kang Zuo, Eckart Viehweg
Let M(d,n) be the moduli stack of hypersurfaces of degree d > n in the complex projective n-space, and let M(d,n;1) be the sub-stack, parameterizing hypersurfaces obtained as a d f…
Irregular manifolds with a canonical linear system, composite with a pencil
Jin-Xing Cai, Eckart Viehweg
Let X be a complex projective n-dimensional manifold of general type, whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjecti…
Families over curves with a strictly maximal Higgs field
Eckart Viehweg, Kang Zuo
We study certain rigid Shimura curves in the moduli scheme of polarized minimal n-folds of Kodaira dimension zero. Those are characterized by some numerical condition on the Delign…
Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks
Eckart Viehweg, Kang Zuo
We extend some of the results obtained for subvarieties of the moduli stack of canonically polarized manifolds in "Base spaces of non-isotrivial families of smooth minimal models"…
A characterization of certain Shimura curves in the moduli stack of abelian varieties
Eckart Viehweg, Kang Zuo
Let f:X-->Y be a semi-stable family of complex abelian varieties over a curve Y of genus q, and smooth over the complement of s points. If F(1,0) denotes the non-flat (1,0) part of…