Abstract
This paper is a sequel to [Continuity of extremal transitions and flops for Calabi-Yau manifolds, J. Differential Geom. 89 (2011) 233-270]. We further investigate the Gromov-Hausdorff convergence of Ricci-flat Kähler metrics under degenerations of Calabi-Yau manifolds. We extend Theorem 1.1 in [Continuity of extremal transitions and flops for Calabi-Yau manifolds, J. Differential Geom. 89 (2011) 233-270] by removing the condition on existence of crepant resolutions for Calabi-Yau varieties.
Original language | English |
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Article number | 1250057 |
Journal | Communications in Contemporary Mathematics |
Volume | 15 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2013 |
Externally published | Yes |
Keywords
- Calabi-Yau manifold
- degenerations
- Gromov-Hausdorff convergence