Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition

Details Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition

2003-11-07

arxiv.org/abs/math/0311098v2

Mathematics

Differential Geometry

Revised version. Some clarification made and an example added

Scientific paper

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.

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