Limiting behavior of local Calabi-Yau metrics
arXiv:math/0304116
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.
20 pages, journal version: exposition improved, several errors and typos corrected; one more error corrected