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Convergence of Calabi–Yau manifolds
Authors:Wei-Dong Ruan  Yuguang Zhang
Affiliation:aKAIST, Daejeon, Republic of Korea;bCapital Normal University, Beijing, China
Abstract:
In this paper, we study the convergence of Calabi–Yau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of Calabi–Yau manifolds.
Keywords:Calabi&ndash  Yau metrics   Singular Calabi&ndash  Yau metrics   Gromov&ndash  Hausdorff convergence   Degeneration   Orbifold singularity   Conifold singularity   Canonical singularity   Collapsing
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