The complex Monge-Ampere type equation on compact Hermitian manifolds and applications

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dc.contributor.authorNgoc Cuong Nguyenko
dc.date.accessioned2019-11-07T09:20:16Z-
dc.date.available2019-11-07T09:20:16Z-
dc.date.created2019-11-07-
dc.date.created2019-11-07-
dc.date.created2019-11-07-
dc.date.issued2016-01-
dc.identifier.citationADVANCES IN MATHEMATICS, v.286, pp.240 - 285-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10203/268239-
dc.description.abstractWe prove the existence and uniqueness of continuous solutions to the complex Monge Ampere type equation with the right hand side in LP, p > 1, on compact Hermitian manifolds. Next, we generalise results of Eyssidieux, Guedj and Zeriahi [17,18] to compact Hermitian manifolds which a priori are not in the Fujild class. These generalisations lead to a number of applications: we obtain partial results on a conjecture of Tosatti and Weinkove [40] and on a weak form of a conjecture of Demailly and Paun [11]. (C) 2015 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleThe complex Monge-Ampere type equation on compact Hermitian manifolds and applications-
dc.typeArticle-
dc.identifier.wosid000364615300006-
dc.identifier.scopusid2-s2.0-84943530963-
dc.type.rimsART-
dc.citation.volume286-
dc.citation.beginningpage240-
dc.citation.endingpage285-
dc.citation.publicationnameADVANCES IN MATHEMATICS-
dc.identifier.doi10.1016/j.aim.2015.09.009-
dc.contributor.localauthorNgoc Cuong Nguyen-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorMonge-Ampere equations-
dc.subject.keywordAuthorHermitian manifolds-
dc.subject.keywordAuthorPluripotential theory-
dc.subject.keywordAuthorWeak solutions-
dc.subject.keywordPlusKAHLER CONE-
dc.subject.keywordPlusCRITERION-
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