Limiting behavior of local Calabi-Yau metrics
classification
🧮 math.DG
math.AG
keywords
behaviorcalabi-yauanalysisansatzcertaincollapsecompletecomplex
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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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