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On a Conjecture of Candelas and de la Ossa

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Abstract

We prove that the metric completion of a canonical Ricci-flat Kähler 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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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA

    Jian Song

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  1. Jian Song
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Correspondence to Jian Song.

Additional information

Communicated by S. Zelditch

Research supported in part by National Science Foundation Grant DMS-0847524 and a Sloan Foundation Fellowship.

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Song, J. On a Conjecture of Candelas and de la Ossa. Commun. Math. Phys. 334, 697–717 (2015). https://doi.org/10.1007/s00220-014-2211-x

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  • DOI: https://doi.org/10.1007/s00220-014-2211-x

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