most citedThe cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold

5 citations · 7 across the 5 of their papers we have counts for

collaborators

5 papers

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.AG20052 cited

Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: The case of noncompact curves

Juergen Jost, Yi-Hu Yang, Kang Zuo

Let be a Riemann surface obtained by deleting a finite number of points, called cusps, from a compact Riemann surface. Let be a semisimple line…

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…

math.AG20035 cited

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…