Degenerations of Ricci-flat Calabi-Yau manifolds

Xiaochun Rong; Yuguang Zhang

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arXiv · 1206.3636

Degenerations of Ricci-flat Calabi-Yau manifolds

Xiaochun Rong·Yuguang Zhang

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Abstract

This paper is a sequel to arXiv:1012.2940. We further investigate the Gromov-Hausdorff convergence of Ricci-flat Kähler metrics under degenerations of Calabi-Yau manifolds. We extend Theorem 1.1 in arXiv:1012.2940 by removing the condition on existence of crepant resolutions for Calabi-Yau varieties.

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Xiaochun Rong, Yuguang Zhang. 2014-01-29. Degenerations of Ricci-flat Calabi-Yau manifolds. https://arxiv.org/abs/1206.3636

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