Mathematics – Differential Geometry
Scientific paper
2012-01-20
Mathematics
Differential Geometry
Scientific paper
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.
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