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Convergence of Calabi-Yau manifolds

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arxiv 0905.3424 v1 pith:ZLB3ST7R submitted 2009-05-21 math.DG

Wei-Dong Ruan , Yuguang Zhang This is my paper · ORCID
classification math.DG
keywords calabi-yaumanifoldssingularitiesconvergencedegenerationcanonicalcollapsingcomplex
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In this paper, we study the convergence of Calabi-Yau manifolds under K\"{a}hler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of Calabi-Yau manifolds.

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  1. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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