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Generalized Hodge Metrics and Bcov Torsion on Calabi-yau Moduli
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fang, Hao Chen Zhijun Lu, Zhiqin |
| Copyright Year | 2005 |
| Abstract | We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge metrics and the BCOV torsion. Using this relation, we prove that certain kind of moduli spaces of polarized Calabi-Yau manifolds do not admit complete subvarieties. That is, there is no complete family for certain class of polarized Calabi-Yau manifolds. We also give an estimate of the complex Hessian of the BCOV torsion using the relation. After establishing a degenerate version of the Schwarz Lemma of Yau, we prove that the complex Hessian of the BCOV torsion is bounded by the Poincaré metric. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0310007v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Hessian Torsion (gastropod) Weil Disease YAU 17, (trans)-isomer |
| Content Type | Text |
| Resource Type | Article |