Families of K3 Surfaces over Curves Satisfying the Equality of Arakelov-yau’s Type and Modularity

Abstract

Let C denote a smooth projective curve of genus q over C, and S ′ ⊂ C a finite set of points, and f : X → C \ S ′ a smooth family of algebraic K3 surfaces, which extends to a family f : X → C with semi-stable singular fibres over S . Let S ⊂ S ′ denote the subset where the local monodromies of Rf∗ZX0 have infinite orders. Let ωX/C denote the dualizing sheaf… (More)

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Cite this paper

@inproceedings{Sun2002FamiliesOK, title={Families of K3 Surfaces over Curves Satisfying the Equality of Arakelov-yau’s Type and Modularity}, author={Xiaotao Sun and SHENG-LI TAN and K. Zuo and Zuo Kang}, year={2002} }