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

Wei-Dong Ruan
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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.

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BibTeXRIS

Wei-Dong Ruan. 2004-06-02. Degeneration of Kahler-Einstein hypersurfaces in complex torus to generalized pair of pants decomposition. https://arxiv.org/abs/math/0311098

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