Monge-Ampère equations on quasi-projective varieties
Location: MSRI: Simons Auditorium
compact Kahler manifold
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.
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