On a conjecture of Candelas and de la Ossa

Jian Song

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arXiv · 1201.4358

On a conjecture of Candelas and de la Ossa

Jian Song

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Abstract

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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Jian Song. 2012-01-20. On a conjecture of Candelas and de la Ossa. https://arxiv.org/abs/1201.4358

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