Generalized Hodge Metrics and BCOV torsion on Calabi-Yau Moduli

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dc.creatorFang, Hao
dc.creatorLu, Zhiqin
dc.date2003-10-01
dc.date.accessioned2026-07-07T06:24:30Z
dc.date.available2026-07-07T06:24:30Z
dc.descriptionWe 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.
dc.descriptionLatex file; 20 pages, 0 figure
dc.identifierhttps://arxiv.org/abs/math/0310007
dc.identifierhttp://arxiv.org/abs/math/0310007
dc.identifierJournal fur die reine und angewandte Mathematik, vol 588 (2005), pp 49-69
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96563
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C, 58J, 14D
dc.titleGeneralized Hodge Metrics and BCOV torsion on Calabi-Yau Moduli
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