2012/01/20 by Jian Song, Song, Jian · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.1201.4358
arxiv created 2012/01/20 · openalex publication_date 2012/01/20 · arxiv updated 2012/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the metric completion of a canonical Ricci-flat Kahler metric on the nonsingular part of a projective Calabi-Yau variety X with ordinary double point singularities, is a compact metric length space homeomorphic to the projective variety X itself. As an application, we prove a conjecture of Candelas and de la Ossa for conifold flops and transitions.