Degenerate complex Monge-Ampère equations over compact Kähler manifolds

dc.creatorDemailly, Jean-Pierre
dc.creatorPali, Nefton
dc.date2007-10-26
dc.date2009-03-24
dc.date.accessioned2026-07-07T12:54:58Z
dc.date.available2026-07-07T12:54:58Z
dc.descriptionWe 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.
dc.descriptionThe present manuscript expands and completes a paper accepted for publication in the International Journal of Mathematics, which had to be shortened in view of the length of the manuscript and of the demands of referees - in particular it gives more details about the relation with the existing litterature (see Appendix C)
dc.identifierhttps://arxiv.org/abs/0710.5109
dc.identifierhttp://arxiv.org/abs/0710.5109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224119
dc.subjectDifferential Geometry
dc.titleDegenerate complex Monge-Ampère equations over compact Kähler manifolds
dc.typetext

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