7 citations · 19 across the 8 of their papers we have counts for
14 papers · 1 filter
Special subvarieties of A_g
Eckart Viehweg, Kang Zuo
We discuss and extend some of the results obtained in "Arakelov inequalities and the uniformization of certain rigid Shimura varieties" (math.AG/0503339), restricting ourselves to…
Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds; questions and examples
Eckart Viehweg, Kang Zuo
In this note we speculate about the structure of maximal product subvarieties in moduli stacks of Calabi-Yau manifolds. We discuss examples for quintic hypersurfaces in the four di…
Arakelov inequalities and the uniformization of certain rigid Shimura varieties
Eckart Viehweg, Kang Zuo
Let Y be a non-singular projective manifold with an ample canonical sheaf, and let V be a rational variation of Hodge structures of weight one on Y with Higgs bundle E(1,0) + E(0,1…
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…