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Limiting behavior of local Calabi-Yau metrics

Ilia Zharkov
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Abstract

We use a generalization of the Gibbons-Hawking ansatz to study the behavior of certain non-compact Calabi-Yau manifolds in the large complex structure limit. This analysis provides an intermediate step toward proving the metric collapse conjecture for toric hypersurfaces and complete intersections.

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Ilia Zharkov. 2004-06-28. Limiting behavior of local Calabi-Yau metrics. https://arxiv.org/abs/math/0304116

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