Journal article
Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
Journal für die reine und angewandte Mathematik, Vol.2005(588), pp.49-69
2005
DOI: 10.1515/crll.2005.2005.588.49
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 smooth 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.
Details
- Title: Subtitle
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- Creators
- Hao FangZhiqin Lu
- Resource Type
- Journal article
- Publication Details
- Journal für die reine und angewandte Mathematik, Vol.2005(588), pp.49-69
- DOI
- 10.1515/crll.2005.2005.588.49
- ISSN
- 0075-4102
- eISSN
- 1435-5345
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985708302771
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