97 citations · 375 across the 94 of their papers we have counts for
7 papers · 1 filter
Special families of curves, of Abelian varieties, and of certain minimal manifolds over curves
Martin Moeller, Eckart Viehweg, Kang Zuo
This survey article discusses some results on the structure of families f:V-->U of n-dimensional manifolds over quasi-projective curves U, with semistable reduction over a compacti…
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…
Chow-Kunneth decomposition for universal families over Picard modular surfaces
Andrea Miller, Stefan Müller-Stach, Sigrid Wortmann +2
We discuss the existence of an absolute Chow-Kuenneth decomposition for complete degenerations of families of Abelian threefolds with complex multiplication over a particular Picar…
Numerical bounds for semi-stable families of curves or of certain higher dimensional manifolds
Eckart Viehweg, Kang Zuo
Given an open subset U of a projective curve Y and a smooth family f:V-->U of curves, with semi-stable reduction over Y, we show that for a sub variation of Hodge structures of ran…
Calabi-Yau Varieties with Fibre Structures
Yi Zhang, Kang Zuo
Motivated by the Strominger-Yau-Zaslow conjecture, we study fibre spaces whose total space has trivial canonical bundle. Especially, we are interest in Calabi-Yau varieties with fi…
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…