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arXiv · 0710.5109

Degenerate complex Monge-Ampère equations over compact Kähler manifolds

Jean-Pierre Demailly·Nefton Pali
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Abstract

We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge-Ampère equations. This type of equations is precisely what is needed in order to construct Kähler-Einstein metrics over irreducible singular Kähler spaces with ample or trivial canonical sheaf and singular Kähler-Einstein metrics over varieties of general type.

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Jean-Pierre Demailly, Nefton Pali. 2009-03-24. Degenerate complex Monge-Ampère equations over compact Kähler manifolds. https://arxiv.org/abs/0710.5109

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