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.
arXiv comment20 pages, journal version: exposition improved, several errors and typos corrected; one more error corrected