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### Monge-Ampère equations on quasi-projective varieties

**Geometry/Topology**

Speaker: | Eleonora Di Nezza, Imperial College |

Location: | 2112 MSB |

Start time: | Tue, Jan 26 2016, 1:10PM |

We consider X a compact Kaehler manifold and D a divisor in X. We study the regularity of solutions of degenerate complex Monge-Ampère equations where the right hand-side is smooth just outside D, establishing uniform a priori estimates which generalize both Yau's and Kolodziej's celebrated estimates. This is a joint work with Hoang-Chinh Lu.