Rigidity for Families of Polarized Calabi-yau Varieties
نویسنده
چکیده
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 criterion for the rigidity of families. We then apply the criterion to obtain that some important and typical families of Calabi-Yau varieties are rigid, for examples., Lefschetz pencils of Calabi-Yau varieties, strongly degenerated families (not only for families of Calabi-Yau varieties), families of Calabi-Yau varieties admitting a degeneration with maximal unipotent monodromy.
منابع مشابه
The Rigidity of Families of Polarized Calabi-Yau Manifolds
In this paper,we study the Shafarevich conjecture for moduli space of polarized Calabi-Yau manifolds and obtain some results on the rigidity of families of Calabi-Yau manifolds. We use variation of Hodge structure and Higgs bundle to establish a criterion for rigidity and apply it to show some important families of Calabi-Yau manifolds are rigid,for examples: Lefschetz pencils of Calabi-Yau man...
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تاریخ انتشار 2005