11 citations · 45 across the 10 of their papers we have counts for
16 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…
The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold
Juergen Jost, Yihu Yang, Kang Zuo
A systematic study of the contributions at infinity for the cohomology of variations of polarized Hodge structures over quasicompact Kähler manifolds. Several isomorphisms between…
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let be a fixed Riemann surface with fixed fi…
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…