Degenerations of Ricci-flat Calabi-Yau manifolds

Yuguang Zhang, Xiaochun Rong

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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 languageEnglish
Article number1250057
JournalCommunications in Contemporary Mathematics
Volume15
Issue number4
DOIs
Publication statusPublished - Aug 2013
Externally publishedYes

Keywords

  • Calabi-Yau manifold
  • degenerations
  • Gromov-Hausdorff convergence

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