DEGENERATIONS OF RICCI-FLAT CALABI-YAU MANIFOLDS

作者:Rong, Xiaochun*; Zhang, Yuguang
来源:Communications in Contemporary Mathematics, 2013, 15(4): UNSP 1250057.
DOI:10.1142/S0219199712500575

摘要

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 Kahler 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.