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Title:
Collapsing of negative Kahler-Einstein metrics
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Abstract:
In this talk, we show that for a toroidal degeneration of canonical polarized manifolds with the total space Q -factorial, the Kahler-Einstein metrics on fibers collapse to a lower dimensional complete Riemannian manifold in the pointed Gromov-Hausdorff sense by suitably choosing the base points. Furthermore, the most collapsed limit is a real affine Kahler manifold.
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