Rigidity for Families of Polarized Calabi-Yau Varieties
| dc.creator | Zhang, Yi | |
| dc.date | 2003-08-05 | |
| dc.date | 2005-04-07 | |
| dc.date.accessioned | 2026-07-07T05:00:07Z | |
| dc.date.available | 2026-07-07T05:00:07Z | |
| dc.description | 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 {\it 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, {\it strongly degenerated} families (not only for families of Calabi-Yau varieties), families of Calabi-Yau varieties admitting a degeneration with {\it maximal unipotent monodromy}. | |
| dc.description | 38 pages, final version, to appear in J.D.G | |
| dc.identifier | https://arxiv.org/abs/math/0308034 | |
| dc.identifier | http://arxiv.org/abs/math/0308034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68245 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Geometric Topology | |
| dc.subject | 14D20 | |
| dc.title | Rigidity for Families of Polarized Calabi-Yau Varieties | |
| dc.type | text |