Calabi-Yau components in general type hypersurfaces

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dc.creatorLeung, Naichung Conan
dc.creatorWan, Tom Y. H.
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:49Z
dc.date.available2026-07-07T09:49:49Z
dc.descriptionFor a one-parameter family of general type hypersurfaces with bases of holomorphic n-forms, we construct open covers using tropical geometry. We show that after normalization, each holomorphic n-form is approximately supported on a unique open component and such a pair approximates a Calabi-Yau hypersurface together with its holomorphic n-form as the parameter becomes large. We also show that the Lagrangian fibers in the fibration constructed by Mikhalkin are asymptotically special Lagrangian. As the holomorphic n-form plays an important role in mirror symmetry for Calabi-Yau manifolds, our results is a step toward understanding mirror symmetry for general type manifolds.
dc.identifierhttps://arxiv.org/abs/0807.1784
dc.identifierhttp://arxiv.org/abs/0807.1784
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164731
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleCalabi-Yau components in general type hypersurfaces
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