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math.AG2005
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…
math.AG2005
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…
math.AG2005
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…