Note on equivalences for degenerations of Calabi-Yau manifolds

2017/11/01 by Yuguang Zhang, Zhang, Yuguang
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1711.00503

openalex publication_date 2017/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note studies the equivalencies among convergences of Ricci-flat Kähler-Einstein metrics on Calabi-Yau manifolds, cohomology classes and potential functions.

Citations

• Degeneration of Ricci-flat Calabi-Yau manifolds and its applications
• Calibrated geometries

Related

• Degeneration of Ricci-flat Calabi-Yau manifolds and its applications
• Ricci-flat metrics on Calabi-Yau manifolds
• Degenerations of Ricci-flat Calabi-Yau manifolds
• Convergence of Calabi-Yau manifolds
• On the degeneration of asymptotically conical Calabi-Yau metrics