Degeneration of Kähler-Einstein Manifolds II: The Toroidal Case

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dc.creatorRuan, Wei-Dong
dc.date2003-03-10
dc.date2004-06-02
dc.date.accessioned2026-07-07T04:55:54Z
dc.date.available2026-07-07T04:55:54Z
dc.descriptionIn this paper we prove that the Kähler-Einstein metrics for a toroidal canonical degeneration family of Kähler manifolds with ample canonical bundles Gromov-Hausdorff converge to the complete Kähler-Einstein metric on the smooth part of the central fiber when the base locus of the degeneration family is empty. We also prove the incompleteness of the Weil-Peterson metric in this case.
dc.descriptionThe assumption of simple in the toroidal degeneration is removed using base extension
dc.identifierhttps://arxiv.org/abs/math/0303113
dc.identifierhttp://arxiv.org/abs/math/0303113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66741
dc.subjectDifferential Geometry
dc.titleDegeneration of Kähler-Einstein Manifolds II: The Toroidal Case
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