Seminar
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| Location: | SLMath: Eisenbud Auditorium |
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In this talk, we study the collapsing of negative Kahler-Einstein metrics along degenerations of canonical polarized manifolds. 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. Furthermore, the most collapsed limit is a real affine Kahler manifold.
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