12 citations · 25 across the 13 of their papers we have counts for
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The Geometry on Smooth Toroidal Compactifications of Siegel varieties
Shing-Tung Yau, Yi Zhang
This is a part of our joint program. The purpose of this paper is to study smooth toroidal compactifications of Siegel varieties and their applications, we also try to understand t…
Hodge Bundles on Smooth Compactifications of Siegel Varieties and Applications
Shing-Tung Yau, Yi Zhang
We study Hodge bundles on Siegel varieties and their various extensions to smooth toroidal compactifications. Precisely, we construct a canonical Hodge bundle on an arbitrary Siege…
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…
Rigidity for Families of Polarized Calabi-Yau Varieties
Yi Zhang
In this paper, we study the analogue of the Shafarevich conjecture for polarized Calabi-Yau varieties. We use variations of Hodge structures and Higgs bundles to establish a criter…