Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition
Differential Geometry
2007-05-23 v2
Abstract
In this paper we show that the convergence of complete Kahler-Einstein hypersurfaces in complex torus in the sense of Cheeger-Gromov will canonically degenerate the underlying manifolds into "pair of pants" decomposition. We also construct minimal Lagrangian tori that represent the vanishing cycles of the degeneration.
Keywords
Cite
@article{arxiv.math/0311098,
title = {Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition},
author = {Wei-Dong Ruan},
journal= {arXiv preprint arXiv:math/0311098},
year = {2007}
}
Comments
Revised version. Some clarification made and an example added