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Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
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Hao Fang
Veröffentlicht/Copyright:
14. Dezember 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 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.
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Published Online: 2005-12-14
Published in Print: 2005-11-25
Walter de Gruyter GmbH & Co. KG
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- Semilattices of groups and inductive limits of Cuntz algebras
- Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- Arcs, valuations and the Nash map
- On Artin’s L-functions. II: Dirichlet coefficients
- A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces
- The spectrum of prime ideals in tensor triangulated categories
- Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes
- On the ‘Section Conjecture’ in anabelian geometry
Artikel in diesem Heft
- Semilattices of groups and inductive limits of Cuntz algebras
- Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- Arcs, valuations and the Nash map
- On Artin’s L-functions. II: Dirichlet coefficients
- A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces
- The spectrum of prime ideals in tensor triangulated categories
- Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes
- On the ‘Section Conjecture’ in anabelian geometry
