Degenerations of Ricci-flat Calabi-Yau manifolds

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.

An error is corrected

References in corpus (3)

• Limits of Calabi-Yau metrics when the Kahler class degenerates
• Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II
• Singular Kahler-Einstein metrics

Cited by in corpus (2)

• Ricci flow and birational surgery
• The Strominger-Yau-Zaslow conjecture and its impact